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Finding the Fourth Proportional to 75,311.15, 112,970.48 and 24,705.69

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Solution

The fourth proportional to 75,311.15, 112,970.48 and 24,705.69 is: 37,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,311.15 : 112,970.48 = 24,705.69 : x
  2. Step 2: Convert to fraction form
    75,311.15/112,970.48 = 24,705.69/x
  3. Step 3: Cross multiply
    75,311.15x = 112,970.48 × 24,705.69
  4. Step 4: Simplify right side
    75,311.15x = 2,791,013,534.50
  5. Step 5: Solve for x
    x = 2,791,013,534.50/75,311.15
  6. Step 6: Final answer
    x = 37,059.77

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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.