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Finding the Fourth Proportional to 107,732, 161,615.51 and 31,838.24

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Solution

The fourth proportional to 107,732, 161,615.51 and 31,838.24 is: 47,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,732 : 161,615.51 = 31,838.24 : x
  2. Step 2: Convert to fraction form
    107,732/161,615.51 = 31,838.24/x
  3. Step 3: Cross multiply
    107,732x = 161,615.51 × 31,838.24
  4. Step 4: Simplify right side
    107,732x = 5,145,553,395.10
  5. Step 5: Solve for x
    x = 5,145,553,395.10/107,732
  6. Step 6: Final answer
    x = 47,762.53

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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.