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Finding the Fourth Proportional to 64,931.24, 97,338.38 and 23,349

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Solution

The fourth proportional to 64,931.24, 97,338.38 and 23,349 is: 35,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,931.24 : 97,338.38 = 23,349 : x
  2. Step 2: Convert to fraction form
    64,931.24/97,338.38 = 23,349/x
  3. Step 3: Cross multiply
    64,931.24x = 97,338.38 × 23,349
  4. Step 4: Simplify right side
    64,931.24x = 2,272,753,834.62
  5. Step 5: Solve for x
    x = 2,272,753,834.62/64,931.24
  6. Step 6: Final answer
    x = 35,002.47

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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.