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Finding the Fourth Proportional to 31,501.68, 47,259.30 and 15,715.20

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Solution

The fourth proportional to 31,501.68, 47,259.30 and 15,715.20 is: 23,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501.68 : 47,259.30 = 15,715.20 : x
  2. Step 2: Convert to fraction form
    31,501.68/47,259.30 = 15,715.20/x
  3. Step 3: Cross multiply
    31,501.68x = 47,259.30 × 15,715.20
  4. Step 4: Simplify right side
    31,501.68x = 742,689,351.36
  5. Step 5: Solve for x
    x = 742,689,351.36/31,501.68
  6. Step 6: Final answer
    x = 23,576.18

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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.