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Finding the Fourth Proportional to 32,565.97, 48,848.94 and 9,192.41

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Solution

The fourth proportional to 32,565.97, 48,848.94 and 9,192.41 is: 13,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,565.97 : 48,848.94 = 9,192.41 : x
  2. Step 2: Convert to fraction form
    32,565.97/48,848.94 = 9,192.41/x
  3. Step 3: Cross multiply
    32,565.97x = 48,848.94 × 9,192.41
  4. Step 4: Simplify right side
    32,565.97x = 449,039,240.30
  5. Step 5: Solve for x
    x = 449,039,240.30/32,565.97
  6. Step 6: Final answer
    x = 13,788.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.