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Finding the Fourth Proportional to 55,798.80, 83,712.78 and 32,405.16

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Solution

The fourth proportional to 55,798.80, 83,712.78 and 32,405.16 is: 48,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,798.80 : 83,712.78 = 32,405.16 : x
  2. Step 2: Convert to fraction form
    55,798.80/83,712.78 = 32,405.16/x
  3. Step 3: Cross multiply
    55,798.80x = 83,712.78 × 32,405.16
  4. Step 4: Simplify right side
    55,798.80x = 2,712,726,029.94
  5. Step 5: Solve for x
    x = 2,712,726,029.94/55,798.80
  6. Step 6: Final answer
    x = 48,616.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.