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Finding the Fourth Proportional to 31,641.50, 47,485.62 and 15,001.59

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Solution

The fourth proportional to 31,641.50, 47,485.62 and 15,001.59 is: 22,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,641.50 : 47,485.62 = 15,001.59 : x
  2. Step 2: Convert to fraction form
    31,641.50/47,485.62 = 15,001.59/x
  3. Step 3: Cross multiply
    31,641.50x = 47,485.62 × 15,001.59
  4. Step 4: Simplify right side
    31,641.50x = 712,359,570.74
  5. Step 5: Solve for x
    x = 712,359,570.74/31,641.50
  6. Step 6: Final answer
    x = 22,513.45

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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.