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Finding the Fourth Proportional to 64,527, 96,794.15 and 22,974

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Solution

The fourth proportional to 64,527, 96,794.15 and 22,974 is: 34,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,527 : 96,794.15 = 22,974 : x
  2. Step 2: Convert to fraction form
    64,527/96,794.15 = 22,974/x
  3. Step 3: Cross multiply
    64,527x = 96,794.15 × 22,974
  4. Step 4: Simplify right side
    64,527x = 2,223,748,687.23
  5. Step 5: Solve for x
    x = 2,223,748,687.23/64,527
  6. Step 6: Final answer
    x = 34,462.30

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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.