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Finding the Fourth Proportional to 32,666.84, 49,001.88 and 9,294.92

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Solution

The fourth proportional to 32,666.84, 49,001.88 and 9,294.92 is: 13,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,666.84 : 49,001.88 = 9,294.92 : x
  2. Step 2: Convert to fraction form
    32,666.84/49,001.88 = 9,294.92/x
  3. Step 3: Cross multiply
    32,666.84x = 49,001.88 × 9,294.92
  4. Step 4: Simplify right side
    32,666.84x = 455,468,554.45
  5. Step 5: Solve for x
    x = 455,468,554.45/32,666.84
  6. Step 6: Final answer
    x = 13,942.84

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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.