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Finding the Fourth Proportional to 59,502, 89,202.12 and 24,419.76

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Solution

The fourth proportional to 59,502, 89,202.12 and 24,419.76 is: 36,608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,502 : 89,202.12 = 24,419.76 : x
  2. Step 2: Convert to fraction form
    59,502/89,202.12 = 24,419.76/x
  3. Step 3: Cross multiply
    59,502x = 89,202.12 × 24,419.76
  4. Step 4: Simplify right side
    59,502x = 2,178,294,361.89
  5. Step 5: Solve for x
    x = 2,178,294,361.89/59,502
  6. Step 6: Final answer
    x = 36,608.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.