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Finding the Fourth Proportional to 76,001.88, 114,023.70 and 31,649.40

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Solution

The fourth proportional to 76,001.88, 114,023.70 and 31,649.40 is: 47,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,001.88 : 114,023.70 = 31,649.40 : x
  2. Step 2: Convert to fraction form
    76,001.88/114,023.70 = 31,649.40/x
  3. Step 3: Cross multiply
    76,001.88x = 114,023.70 × 31,649.40
  4. Step 4: Simplify right side
    76,001.88x = 3,608,781,690.78
  5. Step 5: Solve for x
    x = 3,608,781,690.78/76,001.88
  6. Step 6: Final answer
    x = 47,482.80

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1.5x scale

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.