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Finding the Fourth Proportional to 76,048.74, 114,092.55 and 31,660.74

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Solution

The fourth proportional to 76,048.74, 114,092.55 and 31,660.74 is: 47,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,048.74 : 114,092.55 = 31,660.74 : x
  2. Step 2: Convert to fraction form
    76,048.74/114,092.55 = 31,660.74/x
  3. Step 3: Cross multiply
    76,048.74x = 114,092.55 × 31,660.74
  4. Step 4: Simplify right side
    76,048.74x = 3,612,254,561.49
  5. Step 5: Solve for x
    x = 3,612,254,561.49/76,048.74
  6. Step 6: Final answer
    x = 47,499.20

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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.