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Finding the Fourth Proportional to 43,098.68, 59,475.66 and 24,239

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Solution

The fourth proportional to 43,098.68, 59,475.66 and 24,239 is: 33,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,098.68 : 59,475.66 = 24,239 : x
  2. Step 2: Convert to fraction form
    43,098.68/59,475.66 = 24,239/x
  3. Step 3: Cross multiply
    43,098.68x = 59,475.66 × 24,239
  4. Step 4: Simplify right side
    43,098.68x = 1,441,630,522.74
  5. Step 5: Solve for x
    x = 1,441,630,522.74/43,098.68
  6. Step 6: Final answer
    x = 33,449.53

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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.