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Finding the Fourth Proportional to 57,749, 86,476.62 and 52,423.88

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Solution

The fourth proportional to 57,749, 86,476.62 and 52,423.88 is: 78,502.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,749 : 86,476.62 = 52,423.88 : x
  2. Step 2: Convert to fraction form
    57,749/86,476.62 = 52,423.88/x
  3. Step 3: Cross multiply
    57,749x = 86,476.62 × 52,423.88
  4. Step 4: Simplify right side
    57,749x = 4,533,439,949.69
  5. Step 5: Solve for x
    x = 4,533,439,949.69/57,749
  6. Step 6: Final answer
    x = 78,502.48

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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.