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Finding the Fourth Proportional to 65,053.44, 89,772.48 and 42,696

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Solution

The fourth proportional to 65,053.44, 89,772.48 and 42,696 is: 58,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,053.44 : 89,772.48 = 42,696 : x
  2. Step 2: Convert to fraction form
    65,053.44/89,772.48 = 42,696/x
  3. Step 3: Cross multiply
    65,053.44x = 89,772.48 × 42,696
  4. Step 4: Simplify right side
    65,053.44x = 3,832,925,806.08
  5. Step 5: Solve for x
    x = 3,832,925,806.08/65,053.44
  6. Step 6: Final answer
    x = 58,919.65

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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.