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Finding the Fourth Proportional to 69,099.23, 103,670.72 and 24,725

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Solution

The fourth proportional to 69,099.23, 103,670.72 and 24,725 is: 37,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,099.23 : 103,670.72 = 24,725 : x
  2. Step 2: Convert to fraction form
    69,099.23/103,670.72 = 24,725/x
  3. Step 3: Cross multiply
    69,099.23x = 103,670.72 × 24,725
  4. Step 4: Simplify right side
    69,099.23x = 2,563,258,552
  5. Step 5: Solve for x
    x = 2,563,258,552/69,099.23
  6. Step 6: Final answer
    x = 37,095.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.