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Finding the Fourth Proportional to 52,938, 73,060.92 and 30,582

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Solution

The fourth proportional to 52,938, 73,060.92 and 30,582 is: 42,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,938 : 73,060.92 = 30,582 : x
  2. Step 2: Convert to fraction form
    52,938/73,060.92 = 30,582/x
  3. Step 3: Cross multiply
    52,938x = 73,060.92 × 30,582
  4. Step 4: Simplify right side
    52,938x = 2,234,349,055.44
  5. Step 5: Solve for x
    x = 2,234,349,055.44/52,938
  6. Step 6: Final answer
    x = 42,206.90

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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.