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Finding the Fourth Proportional to 32,135.81, 48,206.00 and 9,946.32

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Solution

The fourth proportional to 32,135.81, 48,206.00 and 9,946.32 is: 14,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,135.81 : 48,206.00 = 9,946.32 : x
  2. Step 2: Convert to fraction form
    32,135.81/48,206.00 = 9,946.32/x
  3. Step 3: Cross multiply
    32,135.81x = 48,206.00 × 9,946.32
  4. Step 4: Simplify right side
    32,135.81x = 479,472,252.19
  5. Step 5: Solve for x
    x = 479,472,252.19/32,135.81
  6. Step 6: Final answer
    x = 14,920.19

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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.