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Finding the Fourth Proportional to 31,509.60, 47,293.32 and 15,938.16

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Solution

The fourth proportional to 31,509.60, 47,293.32 and 15,938.16 is: 23,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.60 : 47,293.32 = 15,938.16 : x
  2. Step 2: Convert to fraction form
    31,509.60/47,293.32 = 15,938.16/x
  3. Step 3: Cross multiply
    31,509.60x = 47,293.32 × 15,938.16
  4. Step 4: Simplify right side
    31,509.60x = 753,768,501.09
  5. Step 5: Solve for x
    x = 753,768,501.09/31,509.60
  6. Step 6: Final answer
    x = 23,921.87

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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.