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Finding the Fourth Proportional to 89,468.36, 123,466.74 and 49,184.71

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Solution

The fourth proportional to 89,468.36, 123,466.74 and 49,184.71 is: 67,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,468.36 : 123,466.74 = 49,184.71 : x
  2. Step 2: Convert to fraction form
    89,468.36/123,466.74 = 49,184.71/x
  3. Step 3: Cross multiply
    89,468.36x = 123,466.74 × 49,184.71
  4. Step 4: Simplify right side
    89,468.36x = 6,072,675,555.62
  5. Step 5: Solve for x
    x = 6,072,675,555.62/89,468.36
  6. Step 6: Final answer
    x = 67,875.12

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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.