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Finding the Fourth Proportional to 89,715.18, 123,806.36 and 49,428

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Solution

The fourth proportional to 89,715.18, 123,806.36 and 49,428 is: 68,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,715.18 : 123,806.36 = 49,428 : x
  2. Step 2: Convert to fraction form
    89,715.18/123,806.36 = 49,428/x
  3. Step 3: Cross multiply
    89,715.18x = 123,806.36 × 49,428
  4. Step 4: Simplify right side
    89,715.18x = 6,119,500,514.94
  5. Step 5: Solve for x
    x = 6,119,500,514.94/89,715.18
  6. Step 6: Final answer
    x = 68,210.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.