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Finding the Fourth Proportional to 70,797.42, 97,699.70 and 38,965.64

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Solution

The fourth proportional to 70,797.42, 97,699.70 and 38,965.64 is: 53,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,797.42 : 97,699.70 = 38,965.64 : x
  2. Step 2: Convert to fraction form
    70,797.42/97,699.70 = 38,965.64/x
  3. Step 3: Cross multiply
    70,797.42x = 97,699.70 × 38,965.64
  4. Step 4: Simplify right side
    70,797.42x = 3,806,931,338.31
  5. Step 5: Solve for x
    x = 3,806,931,338.31/70,797.42
  6. Step 6: Final answer
    x = 53,772.18

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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.