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Finding the Fourth Proportional to 31,356.48, 47,036.16 and 10,580.16

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Solution

The fourth proportional to 31,356.48, 47,036.16 and 10,580.16 is: 15,870.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,356.48 : 47,036.16 = 10,580.16 : x
  2. Step 2: Convert to fraction form
    31,356.48/47,036.16 = 10,580.16/x
  3. Step 3: Cross multiply
    31,356.48x = 47,036.16 × 10,580.16
  4. Step 4: Simplify right side
    31,356.48x = 497,650,098.59
  5. Step 5: Solve for x
    x = 497,650,098.59/31,356.48
  6. Step 6: Final answer
    x = 15,870.73

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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.