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Finding the Fourth Proportional to 76,032.57, 114,054.78 and 22,720.50

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Solution

The fourth proportional to 76,032.57, 114,054.78 and 22,720.50 is: 34,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,032.57 : 114,054.78 = 22,720.50 : x
  2. Step 2: Convert to fraction form
    76,032.57/114,054.78 = 22,720.50/x
  3. Step 3: Cross multiply
    76,032.57x = 114,054.78 × 22,720.50
  4. Step 4: Simplify right side
    76,032.57x = 2,591,381,714.19
  5. Step 5: Solve for x
    x = 2,591,381,714.19/76,032.57
  6. Step 6: Final answer
    x = 34,082.52

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