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Finding the Fourth Proportional to 31,417.34, 47,132.96 and 10,363.88

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Solution

The fourth proportional to 31,417.34, 47,132.96 and 10,363.88 is: 15,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.34 : 47,132.96 = 10,363.88 : x
  2. Step 2: Convert to fraction form
    31,417.34/47,132.96 = 10,363.88/x
  3. Step 3: Cross multiply
    31,417.34x = 47,132.96 × 10,363.88
  4. Step 4: Simplify right side
    31,417.34x = 488,480,407.50
  5. Step 5: Solve for x
    x = 488,480,407.50/31,417.34
  6. Step 6: Final answer
    x = 15,548.12

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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.