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Finding the Fourth Proportional to 31,407.70, 47,114.63 and 10,347.91

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Solution

The fourth proportional to 31,407.70, 47,114.63 and 10,347.91 is: 15,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.70 : 47,114.63 = 10,347.91 : x
  2. Step 2: Convert to fraction form
    31,407.70/47,114.63 = 10,347.91/x
  3. Step 3: Cross multiply
    31,407.70x = 47,114.63 × 10,347.91
  4. Step 4: Simplify right side
    31,407.70x = 487,537,950.92
  5. Step 5: Solve for x
    x = 487,537,950.92/31,407.70
  6. Step 6: Final answer
    x = 15,522.88

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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.