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Finding the Fourth Proportional to 32,678.78, 49,018.14 and 9,305.21

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Solution

The fourth proportional to 32,678.78, 49,018.14 and 9,305.21 is: 13,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.78 : 49,018.14 = 9,305.21 : x
  2. Step 2: Convert to fraction form
    32,678.78/49,018.14 = 9,305.21/x
  3. Step 3: Cross multiply
    32,678.78x = 49,018.14 × 9,305.21
  4. Step 4: Simplify right side
    32,678.78x = 456,123,841.42
  5. Step 5: Solve for x
    x = 456,123,841.42/32,678.78
  6. Step 6: Final answer
    x = 13,957.80

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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.