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Finding the Fourth Proportional to 75,510, 113,277.96 and 22,924.80

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Solution

The fourth proportional to 75,510, 113,277.96 and 22,924.80 is: 34,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,510 : 113,277.96 = 22,924.80 : x
  2. Step 2: Convert to fraction form
    75,510/113,277.96 = 22,924.80/x
  3. Step 3: Cross multiply
    75,510x = 113,277.96 × 22,924.80
  4. Step 4: Simplify right side
    75,510x = 2,596,874,577.41
  5. Step 5: Solve for x
    x = 2,596,874,577.41/75,510
  6. Step 6: Final answer
    x = 34,391.13

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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.