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Finding the Fourth Proportional to 55,979.73, 77,248.47 and 30,829.23

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Solution

The fourth proportional to 55,979.73, 77,248.47 and 30,829.23 is: 42,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,979.73 : 77,248.47 = 30,829.23 : x
  2. Step 2: Convert to fraction form
    55,979.73/77,248.47 = 30,829.23/x
  3. Step 3: Cross multiply
    55,979.73x = 77,248.47 × 30,829.23
  4. Step 4: Simplify right side
    55,979.73x = 2,381,510,848.78
  5. Step 5: Solve for x
    x = 2,381,510,848.78/55,979.73
  6. Step 6: Final answer
    x = 42,542.38

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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.