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Finding the Fourth Proportional to 31,488.50, 47,240.04 and 10,712

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Solution

The fourth proportional to 31,488.50, 47,240.04 and 10,712 is: 16,070.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488.50 : 47,240.04 = 10,712 : x
  2. Step 2: Convert to fraction form
    31,488.50/47,240.04 = 10,712/x
  3. Step 3: Cross multiply
    31,488.50x = 47,240.04 × 10,712
  4. Step 4: Simplify right side
    31,488.50x = 506,035,308.48
  5. Step 5: Solve for x
    x = 506,035,308.48/31,488.50
  6. Step 6: Final answer
    x = 16,070.48

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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.