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Finding the Fourth Proportional to 31,607.47, 47,411.61 and 9,421.57

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Solution

The fourth proportional to 31,607.47, 47,411.61 and 9,421.57 is: 14,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607.47 : 47,411.61 = 9,421.57 : x
  2. Step 2: Convert to fraction form
    31,607.47/47,411.61 = 9,421.57/x
  3. Step 3: Cross multiply
    31,607.47x = 47,411.61 × 9,421.57
  4. Step 4: Simplify right side
    31,607.47x = 446,691,802.43
  5. Step 5: Solve for x
    x = 446,691,802.43/31,607.47
  6. Step 6: Final answer
    x = 14,132.48

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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.