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Finding the Fourth Proportional to 54,076, 74,624.88 and 30,524

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Solution

The fourth proportional to 54,076, 74,624.88 and 30,524 is: 42,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,076 : 74,624.88 = 30,524 : x
  2. Step 2: Convert to fraction form
    54,076/74,624.88 = 30,524/x
  3. Step 3: Cross multiply
    54,076x = 74,624.88 × 30,524
  4. Step 4: Simplify right side
    54,076x = 2,277,849,837.12
  5. Step 5: Solve for x
    x = 2,277,849,837.12/54,076
  6. Step 6: Final answer
    x = 42,123.12

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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.