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Finding the Fourth Proportional to 55,816.65, 83,724.98 and 51,345.45

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Solution

The fourth proportional to 55,816.65, 83,724.98 and 51,345.45 is: 77,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,816.65 : 83,724.98 = 51,345.45 : x
  2. Step 2: Convert to fraction form
    55,816.65/83,724.98 = 51,345.45/x
  3. Step 3: Cross multiply
    55,816.65x = 83,724.98 × 51,345.45
  4. Step 4: Simplify right side
    55,816.65x = 4,298,896,517.61
  5. Step 5: Solve for x
    x = 4,298,896,517.61/55,816.65
  6. Step 6: Final answer
    x = 77,018.18

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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.