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Finding the Fourth Proportional to 76,523.60, 114,719.66 and 26,597.20

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Solution

The fourth proportional to 76,523.60, 114,719.66 and 26,597.20 is: 39,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,523.60 : 114,719.66 = 26,597.20 : x
  2. Step 2: Convert to fraction form
    76,523.60/114,719.66 = 26,597.20/x
  3. Step 3: Cross multiply
    76,523.60x = 114,719.66 × 26,597.20
  4. Step 4: Simplify right side
    76,523.60x = 3,051,221,740.95
  5. Step 5: Solve for x
    x = 3,051,221,740.95/76,523.60
  6. Step 6: Final answer
    x = 39,872.95

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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.