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Finding the Fourth Proportional to 72,172, 108,275.36 and 22,924

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Solution

The fourth proportional to 72,172, 108,275.36 and 22,924 is: 34,391.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,172 : 108,275.36 = 22,924 : x
  2. Step 2: Convert to fraction form
    72,172/108,275.36 = 22,924/x
  3. Step 3: Cross multiply
    72,172x = 108,275.36 × 22,924
  4. Step 4: Simplify right side
    72,172x = 2,482,104,352.64
  5. Step 5: Solve for x
    x = 2,482,104,352.64/72,172
  6. Step 6: Final answer
    x = 34,391.51

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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.