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Finding the Fourth Proportional to 42,878.43, 59,158.44 and 27,782.64

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Solution

The fourth proportional to 42,878.43, 59,158.44 and 27,782.64 is: 38,331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,878.43 : 59,158.44 = 27,782.64 : x
  2. Step 2: Convert to fraction form
    42,878.43/59,158.44 = 27,782.64/x
  3. Step 3: Cross multiply
    42,878.43x = 59,158.44 × 27,782.64
  4. Step 4: Simplify right side
    42,878.43x = 1,643,577,641.48
  5. Step 5: Solve for x
    x = 1,643,577,641.48/42,878.43
  6. Step 6: Final answer
    x = 38,331.11

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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.