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Finding the Fourth Proportional to 54,503.84, 75,222.02 and 30,630

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Solution

The fourth proportional to 54,503.84, 75,222.02 and 30,630 is: 42,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,503.84 : 75,222.02 = 30,630 : x
  2. Step 2: Convert to fraction form
    54,503.84/75,222.02 = 30,630/x
  3. Step 3: Cross multiply
    54,503.84x = 75,222.02 × 30,630
  4. Step 4: Simplify right side
    54,503.84x = 2,304,050,472.60
  5. Step 5: Solve for x
    x = 2,304,050,472.60/54,503.84
  6. Step 6: Final answer
    x = 42,273.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.