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Finding the Fourth Proportional to 31,392.90, 47,078.28 and 9,200.52

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Solution

The fourth proportional to 31,392.90, 47,078.28 and 9,200.52 is: 13,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,392.90 : 47,078.28 = 9,200.52 : x
  2. Step 2: Convert to fraction form
    31,392.90/47,078.28 = 9,200.52/x
  3. Step 3: Cross multiply
    31,392.90x = 47,078.28 × 9,200.52
  4. Step 4: Simplify right side
    31,392.90x = 433,144,656.71
  5. Step 5: Solve for x
    x = 433,144,656.71/31,392.90
  6. Step 6: Final answer
    x = 13,797.54

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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.