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Finding the Fourth Proportional to 55,608.16, 83,339.92 and 42,412

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Solution

The fourth proportional to 55,608.16, 83,339.92 and 42,412 is: 63,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,608.16 : 83,339.92 = 42,412 : x
  2. Step 2: Convert to fraction form
    55,608.16/83,339.92 = 42,412/x
  3. Step 3: Cross multiply
    55,608.16x = 83,339.92 × 42,412
  4. Step 4: Simplify right side
    55,608.16x = 3,534,612,687.04
  5. Step 5: Solve for x
    x = 3,534,612,687.04/55,608.16
  6. Step 6: Final answer
    x = 63,562.84

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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.