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Finding the Fourth Proportional to 32,677.14, 49,001.04 and 9,298.02

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Solution

The fourth proportional to 32,677.14, 49,001.04 and 9,298.02 is: 13,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.14 : 49,001.04 = 9,298.02 : x
  2. Step 2: Convert to fraction form
    32,677.14/49,001.04 = 9,298.02/x
  3. Step 3: Cross multiply
    32,677.14x = 49,001.04 × 9,298.02
  4. Step 4: Simplify right side
    32,677.14x = 455,612,649.94
  5. Step 5: Solve for x
    x = 455,612,649.94/32,677.14
  6. Step 6: Final answer
    x = 13,942.86

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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.