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Finding the Fourth Proportional to 31,386.40, 47,055.60 and 15,815.20

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Solution

The fourth proportional to 31,386.40, 47,055.60 and 15,815.20 is: 23,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386.40 : 47,055.60 = 15,815.20 : x
  2. Step 2: Convert to fraction form
    31,386.40/47,055.60 = 15,815.20/x
  3. Step 3: Cross multiply
    31,386.40x = 47,055.60 × 15,815.20
  4. Step 4: Simplify right side
    31,386.40x = 744,193,725.12
  5. Step 5: Solve for x
    x = 744,193,725.12/31,386.40
  6. Step 6: Final answer
    x = 23,710.71

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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.