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Finding the Fourth Proportional to 65,113.16, 89,867.67 and 38,255.66

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Solution

The fourth proportional to 65,113.16, 89,867.67 and 38,255.66 is: 52,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,113.16 : 89,867.67 = 38,255.66 : x
  2. Step 2: Convert to fraction form
    65,113.16/89,867.67 = 38,255.66/x
  3. Step 3: Cross multiply
    65,113.16x = 89,867.67 × 38,255.66
  4. Step 4: Simplify right side
    65,113.16x = 3,437,947,028.51
  5. Step 5: Solve for x
    x = 3,437,947,028.51/65,113.16
  6. Step 6: Final answer
    x = 52,799.57

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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.