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Finding the Fourth Proportional to 32,678.16, 49,017 and 9,304.56

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Solution

The fourth proportional to 32,678.16, 49,017 and 9,304.56 is: 13,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.16 : 49,017 = 9,304.56 : x
  2. Step 2: Convert to fraction form
    32,678.16/49,017 = 9,304.56/x
  3. Step 3: Cross multiply
    32,678.16x = 49,017 × 9,304.56
  4. Step 4: Simplify right side
    32,678.16x = 456,081,617.52
  5. Step 5: Solve for x
    x = 456,081,617.52/32,678.16
  6. Step 6: Final answer
    x = 13,956.77

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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.