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Finding the Fourth Proportional to 31,700.14, 47,543.32 and 9,507.56

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Solution

The fourth proportional to 31,700.14, 47,543.32 and 9,507.56 is: 14,259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,700.14 : 47,543.32 = 9,507.56 : x
  2. Step 2: Convert to fraction form
    31,700.14/47,543.32 = 9,507.56/x
  3. Step 3: Cross multiply
    31,700.14x = 47,543.32 × 9,507.56
  4. Step 4: Simplify right side
    31,700.14x = 452,020,967.50
  5. Step 5: Solve for x
    x = 452,020,967.50/31,700.14
  6. Step 6: Final answer
    x = 14,259.27

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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.