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Finding the Fourth Proportional to 76,222.60, 114,404.16 and 38,809.64

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Solution

The fourth proportional to 76,222.60, 114,404.16 and 38,809.64 is: 58,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,222.60 : 114,404.16 = 38,809.64 : x
  2. Step 2: Convert to fraction form
    76,222.60/114,404.16 = 38,809.64/x
  3. Step 3: Cross multiply
    76,222.60x = 114,404.16 × 38,809.64
  4. Step 4: Simplify right side
    76,222.60x = 4,439,984,695.65
  5. Step 5: Solve for x
    x = 4,439,984,695.65/76,222.60
  6. Step 6: Final answer
    x = 58,250.24

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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.