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Finding the Fourth Proportional to 70,711.34, 97,580.85 and 52,642.85

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Solution

The fourth proportional to 70,711.34, 97,580.85 and 52,642.85 is: 72,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,711.34 : 97,580.85 = 52,642.85 : x
  2. Step 2: Convert to fraction form
    70,711.34/97,580.85 = 52,642.85/x
  3. Step 3: Cross multiply
    70,711.34x = 97,580.85 × 52,642.85
  4. Step 4: Simplify right side
    70,711.34x = 5,136,933,561.52
  5. Step 5: Solve for x
    x = 5,136,933,561.52/70,711.34
  6. Step 6: Final answer
    x = 72,646.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.