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Finding the Fourth Proportional to 54,437.40, 75,123.72 and 30,564

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Solution

The fourth proportional to 54,437.40, 75,123.72 and 30,564 is: 42,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,437.40 : 75,123.72 = 30,564 : x
  2. Step 2: Convert to fraction form
    54,437.40/75,123.72 = 30,564/x
  3. Step 3: Cross multiply
    54,437.40x = 75,123.72 × 30,564
  4. Step 4: Simplify right side
    54,437.40x = 2,296,081,378.08
  5. Step 5: Solve for x
    x = 2,296,081,378.08/54,437.40
  6. Step 6: Final answer
    x = 42,178.38

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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.