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Finding the Fourth Proportional to 75,578.46, 113,367.70 and 22,988

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Solution

The fourth proportional to 75,578.46, 113,367.70 and 22,988 is: 34,482.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578.46 : 113,367.70 = 22,988 : x
  2. Step 2: Convert to fraction form
    75,578.46/113,367.70 = 22,988/x
  3. Step 3: Cross multiply
    75,578.46x = 113,367.70 × 22,988
  4. Step 4: Simplify right side
    75,578.46x = 2,606,096,687.60
  5. Step 5: Solve for x
    x = 2,606,096,687.60/75,578.46
  6. Step 6: Final answer
    x = 34,482.00

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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.