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Finding the Fourth Proportional to 89,524.72, 123,547.14 and 49,240

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Solution

The fourth proportional to 89,524.72, 123,547.14 and 49,240 is: 67,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,524.72 : 123,547.14 = 49,240 : x
  2. Step 2: Convert to fraction form
    89,524.72/123,547.14 = 49,240/x
  3. Step 3: Cross multiply
    89,524.72x = 123,547.14 × 49,240
  4. Step 4: Simplify right side
    89,524.72x = 6,083,461,173.60
  5. Step 5: Solve for x
    x = 6,083,461,173.60/89,524.72
  6. Step 6: Final answer
    x = 67,952.86

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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.