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Finding the Fourth Proportional to 72,176, 108,281.36 and 22,928

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Solution

The fourth proportional to 72,176, 108,281.36 and 22,928 is: 34,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,176 : 108,281.36 = 22,928 : x
  2. Step 2: Convert to fraction form
    72,176/108,281.36 = 22,928/x
  3. Step 3: Cross multiply
    72,176x = 108,281.36 × 22,928
  4. Step 4: Simplify right side
    72,176x = 2,482,675,022.08
  5. Step 5: Solve for x
    x = 2,482,675,022.08/72,176
  6. Step 6: Final answer
    x = 34,397.51

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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.