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Finding the Fourth Proportional to 89,500.16, 123,509.84 and 49,216.40

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Solution

The fourth proportional to 89,500.16, 123,509.84 and 49,216.40 is: 67,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,500.16 : 123,509.84 = 49,216.40 : x
  2. Step 2: Convert to fraction form
    89,500.16/123,509.84 = 49,216.40/x
  3. Step 3: Cross multiply
    89,500.16x = 123,509.84 × 49,216.40
  4. Step 4: Simplify right side
    89,500.16x = 6,078,709,689.38
  5. Step 5: Solve for x
    x = 6,078,709,689.38/89,500.16
  6. Step 6: Final answer
    x = 67,918.42

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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.