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Finding the Fourth Proportional to 70,914, 97,860.24 and 39,082.08

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Solution

The fourth proportional to 70,914, 97,860.24 and 39,082.08 is: 53,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,914 : 97,860.24 = 39,082.08 : x
  2. Step 2: Convert to fraction form
    70,914/97,860.24 = 39,082.08/x
  3. Step 3: Cross multiply
    70,914x = 97,860.24 × 39,082.08
  4. Step 4: Simplify right side
    70,914x = 3,824,581,728.50
  5. Step 5: Solve for x
    x = 3,824,581,728.50/70,914
  6. Step 6: Final answer
    x = 53,932.68

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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.