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Finding the Fourth Proportional to 31,566.47, 47,354.22 and 10,499.58

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Solution

The fourth proportional to 31,566.47, 47,354.22 and 10,499.58 is: 15,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566.47 : 47,354.22 = 10,499.58 : x
  2. Step 2: Convert to fraction form
    31,566.47/47,354.22 = 10,499.58/x
  3. Step 3: Cross multiply
    31,566.47x = 47,354.22 × 10,499.58
  4. Step 4: Simplify right side
    31,566.47x = 497,199,421.23
  5. Step 5: Solve for x
    x = 497,199,421.23/31,566.47
  6. Step 6: Final answer
    x = 15,750.87

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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.