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Finding the Fourth Proportional to 64,891.72, 97,318.14 and 23,329

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Solution

The fourth proportional to 64,891.72, 97,318.14 and 23,329 is: 34,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,891.72 : 97,318.14 = 23,329 : x
  2. Step 2: Convert to fraction form
    64,891.72/97,318.14 = 23,329/x
  3. Step 3: Cross multiply
    64,891.72x = 97,318.14 × 23,329
  4. Step 4: Simplify right side
    64,891.72x = 2,270,334,888.06
  5. Step 5: Solve for x
    x = 2,270,334,888.06/64,891.72
  6. Step 6: Final answer
    x = 34,986.51

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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.