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Finding the Fourth Proportional to 42,752.96, 59,002.08 and 27,848.96

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Solution

The fourth proportional to 42,752.96, 59,002.08 and 27,848.96 is: 38,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,752.96 : 59,002.08 = 27,848.96 : x
  2. Step 2: Convert to fraction form
    42,752.96/59,002.08 = 27,848.96/x
  3. Step 3: Cross multiply
    42,752.96x = 59,002.08 × 27,848.96
  4. Step 4: Simplify right side
    42,752.96x = 1,643,146,565.84
  5. Step 5: Solve for x
    x = 1,643,146,565.84/42,752.96
  6. Step 6: Final answer
    x = 38,433.52

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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.