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Finding the Fourth Proportional to 42,870.72, 59,191.92 and 27,770.88

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Solution

The fourth proportional to 42,870.72, 59,191.92 and 27,770.88 is: 38,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,870.72 : 59,191.92 = 27,770.88 : x
  2. Step 2: Convert to fraction form
    42,870.72/59,191.92 = 27,770.88/x
  3. Step 3: Cross multiply
    42,870.72x = 59,191.92 × 27,770.88
  4. Step 4: Simplify right side
    42,870.72x = 1,643,811,707.29
  5. Step 5: Solve for x
    x = 1,643,811,707.29/42,870.72
  6. Step 6: Final answer
    x = 38,343.46

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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.