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Finding the Fourth Proportional to 32,708.30, 49,062.50 and 9,334.74

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Solution

The fourth proportional to 32,708.30, 49,062.50 and 9,334.74 is: 14,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,708.30 : 49,062.50 = 9,334.74 : x
  2. Step 2: Convert to fraction form
    32,708.30/49,062.50 = 9,334.74/x
  3. Step 3: Cross multiply
    32,708.30x = 49,062.50 × 9,334.74
  4. Step 4: Simplify right side
    32,708.30x = 457,985,634.58
  5. Step 5: Solve for x
    x = 457,985,634.58/32,708.30
  6. Step 6: Final answer
    x = 14,002.12

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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.