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Finding the Fourth Proportional to 56,019.78, 77,306.88 and 30,869.28

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Solution

The fourth proportional to 56,019.78, 77,306.88 and 30,869.28 is: 42,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,019.78 : 77,306.88 = 30,869.28 : x
  2. Step 2: Convert to fraction form
    56,019.78/77,306.88 = 30,869.28/x
  3. Step 3: Cross multiply
    56,019.78x = 77,306.88 × 30,869.28
  4. Step 4: Simplify right side
    56,019.78x = 2,386,407,724.65
  5. Step 5: Solve for x
    x = 2,386,407,724.65/56,019.78
  6. Step 6: Final answer
    x = 42,599.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.