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Finding the Fourth Proportional to 37,082.84, 55,267.49 and 36,492.36

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Solution

The fourth proportional to 37,082.84, 55,267.49 and 36,492.36 is: 54,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,082.84 : 55,267.49 = 36,492.36 : x
  2. Step 2: Convert to fraction form
    37,082.84/55,267.49 = 36,492.36/x
  3. Step 3: Cross multiply
    37,082.84x = 55,267.49 × 36,492.36
  4. Step 4: Simplify right side
    37,082.84x = 2,016,841,141.38
  5. Step 5: Solve for x
    x = 2,016,841,141.38/37,082.84
  6. Step 6: Final answer
    x = 54,387.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.