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Finding the Fourth Proportional to 32,780.86, 49,170.02 and 9,407.30

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Solution

The fourth proportional to 32,780.86, 49,170.02 and 9,407.30 is: 14,110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780.86 : 49,170.02 = 9,407.30 : x
  2. Step 2: Convert to fraction form
    32,780.86/49,170.02 = 9,407.30/x
  3. Step 3: Cross multiply
    32,780.86x = 49,170.02 × 9,407.30
  4. Step 4: Simplify right side
    32,780.86x = 462,557,029.74
  5. Step 5: Solve for x
    x = 462,557,029.74/32,780.86
  6. Step 6: Final answer
    x = 14,110.58

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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.