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Finding the Fourth Proportional to 42,320.78, 58,372.35 and 27,963.98

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Solution

The fourth proportional to 42,320.78, 58,372.35 and 27,963.98 is: 38,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,320.78 : 58,372.35 = 27,963.98 : x
  2. Step 2: Convert to fraction form
    42,320.78/58,372.35 = 27,963.98/x
  3. Step 3: Cross multiply
    42,320.78x = 58,372.35 × 27,963.98
  4. Step 4: Simplify right side
    42,320.78x = 1,632,323,227.95
  5. Step 5: Solve for x
    x = 1,632,323,227.95/42,320.78
  6. Step 6: Final answer
    x = 38,570.25

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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.