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Finding the Fourth Proportional to 42,871.80, 59,149.35 and 27,776.10

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Solution

The fourth proportional to 42,871.80, 59,149.35 and 27,776.10 is: 38,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,871.80 : 59,149.35 = 27,776.10 : x
  2. Step 2: Convert to fraction form
    42,871.80/59,149.35 = 27,776.10/x
  3. Step 3: Cross multiply
    42,871.80x = 59,149.35 × 27,776.10
  4. Step 4: Simplify right side
    42,871.80x = 1,642,938,260.54
  5. Step 5: Solve for x
    x = 1,642,938,260.54/42,871.80
  6. Step 6: Final answer
    x = 38,322.12

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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.