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Finding the Fourth Proportional to 55,898.30, 83,848.06 and 16,456.16

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Solution

The fourth proportional to 55,898.30, 83,848.06 and 16,456.16 is: 24,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,898.30 : 83,848.06 = 16,456.16 : x
  2. Step 2: Convert to fraction form
    55,898.30/83,848.06 = 16,456.16/x
  3. Step 3: Cross multiply
    55,898.30x = 83,848.06 × 16,456.16
  4. Step 4: Simplify right side
    55,898.30x = 1,379,817,321.24
  5. Step 5: Solve for x
    x = 1,379,817,321.24/55,898.30
  6. Step 6: Final answer
    x = 24,684.42

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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.