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Finding the Fourth Proportional to 31,925.16, 47,893.74 and 9,740.52

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Solution

The fourth proportional to 31,925.16, 47,893.74 and 9,740.52 is: 14,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,925.16 : 47,893.74 = 9,740.52 : x
  2. Step 2: Convert to fraction form
    31,925.16/47,893.74 = 9,740.52/x
  3. Step 3: Cross multiply
    31,925.16x = 47,893.74 × 9,740.52
  4. Step 4: Simplify right side
    31,925.16x = 466,509,932.34
  5. Step 5: Solve for x
    x = 466,509,932.34/31,925.16
  6. Step 6: Final answer
    x = 14,612.61

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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.