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Finding the Fourth Proportional to 55,934.65, 83,901.79 and 15,952.80

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Solution

The fourth proportional to 55,934.65, 83,901.79 and 15,952.80 is: 23,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,934.65 : 83,901.79 = 15,952.80 : x
  2. Step 2: Convert to fraction form
    55,934.65/83,901.79 = 15,952.80/x
  3. Step 3: Cross multiply
    55,934.65x = 83,901.79 × 15,952.80
  4. Step 4: Simplify right side
    55,934.65x = 1,338,468,270.84
  5. Step 5: Solve for x
    x = 1,338,468,270.84/55,934.65
  6. Step 6: Final answer
    x = 23,929.14

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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.