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Finding the Fourth Proportional to 52,069.49, 77,990.82 and 27,034.01

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Solution

The fourth proportional to 52,069.49, 77,990.82 and 27,034.01 is: 40,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,069.49 : 77,990.82 = 27,034.01 : x
  2. Step 2: Convert to fraction form
    52,069.49/77,990.82 = 27,034.01/x
  3. Step 3: Cross multiply
    52,069.49x = 77,990.82 × 27,034.01
  4. Step 4: Simplify right side
    52,069.49x = 2,108,404,607.79
  5. Step 5: Solve for x
    x = 2,108,404,607.79/52,069.49
  6. Step 6: Final answer
    x = 40,492.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.