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Finding the Fourth Proportional to 89,486.53, 123,491.48 and 49,200.97

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Solution

The fourth proportional to 89,486.53, 123,491.48 and 49,200.97 is: 67,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,486.53 : 123,491.48 = 49,200.97 : x
  2. Step 2: Convert to fraction form
    89,486.53/123,491.48 = 49,200.97/x
  3. Step 3: Cross multiply
    89,486.53x = 123,491.48 × 49,200.97
  4. Step 4: Simplify right side
    89,486.53x = 6,075,900,602.74
  5. Step 5: Solve for x
    x = 6,075,900,602.74/89,486.53
  6. Step 6: Final answer
    x = 67,897.38

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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.