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Finding the Fourth Proportional to 109,592.16, 164,349.36 and 39,452.64

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Solution

The fourth proportional to 109,592.16, 164,349.36 and 39,452.64 is: 59,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,592.16 : 164,349.36 = 39,452.64 : x
  2. Step 2: Convert to fraction form
    109,592.16/164,349.36 = 39,452.64/x
  3. Step 3: Cross multiply
    109,592.16x = 164,349.36 × 39,452.64
  4. Step 4: Simplify right side
    109,592.16x = 6,484,016,134.31
  5. Step 5: Solve for x
    x = 6,484,016,134.31/109,592.16
  6. Step 6: Final answer
    x = 59,164.96

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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.