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Finding the Fourth Proportional to 31,572.64, 47,368.32 and 10,515.40

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Solution

The fourth proportional to 31,572.64, 47,368.32 and 10,515.40 is: 15,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572.64 : 47,368.32 = 10,515.40 : x
  2. Step 2: Convert to fraction form
    31,572.64/47,368.32 = 10,515.40/x
  3. Step 3: Cross multiply
    31,572.64x = 47,368.32 × 10,515.40
  4. Step 4: Simplify right side
    31,572.64x = 498,096,832.13
  5. Step 5: Solve for x
    x = 498,096,832.13/31,572.64
  6. Step 6: Final answer
    x = 15,776.22

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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.