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Finding the Fourth Proportional to 64,711.64, 97,074.15 and 17,964.53

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Solution

The fourth proportional to 64,711.64, 97,074.15 and 17,964.53 is: 26,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,711.64 : 97,074.15 = 17,964.53 : x
  2. Step 2: Convert to fraction form
    64,711.64/97,074.15 = 17,964.53/x
  3. Step 3: Cross multiply
    64,711.64x = 97,074.15 × 17,964.53
  4. Step 4: Simplify right side
    64,711.64x = 1,743,891,479.90
  5. Step 5: Solve for x
    x = 1,743,891,479.90/64,711.64
  6. Step 6: Final answer
    x = 26,948.65

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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.