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Finding the Fourth Proportional to 97,732, 146,590.64 and 31,169.44

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Solution

The fourth proportional to 97,732, 146,590.64 and 31,169.44 is: 46,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,732 : 146,590.64 = 31,169.44 : x
  2. Step 2: Convert to fraction form
    97,732/146,590.64 = 31,169.44/x
  3. Step 3: Cross multiply
    97,732x = 146,590.64 × 31,169.44
  4. Step 4: Simplify right side
    97,732x = 4,569,148,158.04
  5. Step 5: Solve for x
    x = 4,569,148,158.04/97,732
  6. Step 6: Final answer
    x = 46,751.81

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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.