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Finding the Fourth Proportional to 42,643.68, 58,848.66 and 24,739

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Solution

The fourth proportional to 42,643.68, 58,848.66 and 24,739 is: 34,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,643.68 : 58,848.66 = 24,739 : x
  2. Step 2: Convert to fraction form
    42,643.68/58,848.66 = 24,739/x
  3. Step 3: Cross multiply
    42,643.68x = 58,848.66 × 24,739
  4. Step 4: Simplify right side
    42,643.68x = 1,455,856,999.74
  5. Step 5: Solve for x
    x = 1,455,856,999.74/42,643.68
  6. Step 6: Final answer
    x = 34,140.04

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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.