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Finding the Fourth Proportional to 76,988.60, 115,499.10 and 24,403.40

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Solution

The fourth proportional to 76,988.60, 115,499.10 and 24,403.40 is: 36,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,988.60 : 115,499.10 = 24,403.40 : x
  2. Step 2: Convert to fraction form
    76,988.60/115,499.10 = 24,403.40/x
  3. Step 3: Cross multiply
    76,988.60x = 115,499.10 × 24,403.40
  4. Step 4: Simplify right side
    76,988.60x = 2,818,570,736.94
  5. Step 5: Solve for x
    x = 2,818,570,736.94/76,988.60
  6. Step 6: Final answer
    x = 36,610.23

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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.