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Finding the Fourth Proportional to 54,436.95, 75,123.72 and 30,562.20

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Solution

The fourth proportional to 54,436.95, 75,123.72 and 30,562.20 is: 42,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,436.95 : 75,123.72 = 30,562.20 : x
  2. Step 2: Convert to fraction form
    54,436.95/75,123.72 = 30,562.20/x
  3. Step 3: Cross multiply
    54,436.95x = 75,123.72 × 30,562.20
  4. Step 4: Simplify right side
    54,436.95x = 2,295,946,155.38
  5. Step 5: Solve for x
    x = 2,295,946,155.38/54,436.95
  6. Step 6: Final answer
    x = 42,176.25

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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.