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Finding the Fourth Proportional to 31,557.96, 47,315.16 and 21,031.20

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Solution

The fourth proportional to 31,557.96, 47,315.16 and 21,031.20 is: 31,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,557.96 : 47,315.16 = 21,031.20 : x
  2. Step 2: Convert to fraction form
    31,557.96/47,315.16 = 21,031.20/x
  3. Step 3: Cross multiply
    31,557.96x = 47,315.16 × 21,031.20
  4. Step 4: Simplify right side
    31,557.96x = 995,094,592.99
  5. Step 5: Solve for x
    x = 995,094,592.99/31,557.96
  6. Step 6: Final answer
    x = 31,532.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.