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Finding the Fourth Proportional to 70,900.96, 106,318.80 and 24,141.28

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Solution

The fourth proportional to 70,900.96, 106,318.80 and 24,141.28 is: 36,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,900.96 : 106,318.80 = 24,141.28 : x
  2. Step 2: Convert to fraction form
    70,900.96/106,318.80 = 24,141.28/x
  3. Step 3: Cross multiply
    70,900.96x = 106,318.80 × 24,141.28
  4. Step 4: Simplify right side
    70,900.96x = 2,566,671,920.06
  5. Step 5: Solve for x
    x = 2,566,671,920.06/70,900.96
  6. Step 6: Final answer
    x = 36,200.81

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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.