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Finding the Fourth Proportional to 31,570.64, 47,365.32 and 10,513.40

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Solution

The fourth proportional to 31,570.64, 47,365.32 and 10,513.40 is: 15,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,570.64 : 47,365.32 = 10,513.40 : x
  2. Step 2: Convert to fraction form
    31,570.64/47,365.32 = 10,513.40/x
  3. Step 3: Cross multiply
    31,570.64x = 47,365.32 × 10,513.40
  4. Step 4: Simplify right side
    31,570.64x = 497,970,555.29
  5. Step 5: Solve for x
    x = 497,970,555.29/31,570.64
  6. Step 6: Final answer
    x = 15,773.22

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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.