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Finding the Fourth Proportional to 76,036.74, 114,074.55 and 31,648.74

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Solution

The fourth proportional to 76,036.74, 114,074.55 and 31,648.74 is: 47,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,036.74 : 114,074.55 = 31,648.74 : x
  2. Step 2: Convert to fraction form
    76,036.74/114,074.55 = 31,648.74/x
  3. Step 3: Cross multiply
    76,036.74x = 114,074.55 × 31,648.74
  4. Step 4: Simplify right side
    76,036.74x = 3,610,315,773.57
  5. Step 5: Solve for x
    x = 3,610,315,773.57/76,036.74
  6. Step 6: Final answer
    x = 47,481.20

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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.