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Finding the Fourth Proportional to 76,615.32, 114,922.80 and 24,024.72

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Solution

The fourth proportional to 76,615.32, 114,922.80 and 24,024.72 is: 36,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,615.32 : 114,922.80 = 24,024.72 : x
  2. Step 2: Convert to fraction form
    76,615.32/114,922.80 = 24,024.72/x
  3. Step 3: Cross multiply
    76,615.32x = 114,922.80 × 24,024.72
  4. Step 4: Simplify right side
    76,615.32x = 2,760,988,091.62
  5. Step 5: Solve for x
    x = 2,760,988,091.62/76,615.32
  6. Step 6: Final answer
    x = 36,037.02

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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.