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Finding the Fourth Proportional to 76,752, 115,119.36 and 24,151.68

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Solution

The fourth proportional to 76,752, 115,119.36 and 24,151.68 is: 36,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,752 : 115,119.36 = 24,151.68 : x
  2. Step 2: Convert to fraction form
    76,752/115,119.36 = 24,151.68/x
  3. Step 3: Cross multiply
    76,752x = 115,119.36 × 24,151.68
  4. Step 4: Simplify right side
    76,752x = 2,780,325,944.52
  5. Step 5: Solve for x
    x = 2,780,325,944.52/76,752
  6. Step 6: Final answer
    x = 36,224.80

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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.