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Finding the Fourth Proportional to 65,053.68, 89,774.78 and 38,196.51

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Solution

The fourth proportional to 65,053.68, 89,774.78 and 38,196.51 is: 52,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,053.68 : 89,774.78 = 38,196.51 : x
  2. Step 2: Convert to fraction form
    65,053.68/89,774.78 = 38,196.51/x
  3. Step 3: Cross multiply
    65,053.68x = 89,774.78 × 38,196.51
  4. Step 4: Simplify right side
    65,053.68x = 3,429,083,091.04
  5. Step 5: Solve for x
    x = 3,429,083,091.04/65,053.68
  6. Step 6: Final answer
    x = 52,711.59

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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.