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Finding the Fourth Proportional to 32,662,870.20, 48,997,357.38 and 9,633,827.16

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Solution

The fourth proportional to 32,662,870.20, 48,997,357.38 and 9,633,827.16 is: 14,451,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,662,870.20 : 48,997,357.38 = 9,633,827.16 : x
  2. Step 2: Convert to fraction form
    32,662,870.20/48,997,357.38 = 9,633,827.16/x
  3. Step 3: Cross multiply
    32,662,870.20x = 48,997,357.38 × 9,633,827.16
  4. Step 4: Simplify right side
    32,662,870.20x = 472,032,072,295,670.50
  5. Step 5: Solve for x
    x = 472,032,072,295,670.50/32,662,870.20
  6. Step 6: Final answer
    x = 14,451,640.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.