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Finding the Fourth Proportional to 65,194.47, 89,965.23 and 40,039.11

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Solution

The fourth proportional to 65,194.47, 89,965.23 and 40,039.11 is: 55,252.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,194.47 : 89,965.23 = 40,039.11 : x
  2. Step 2: Convert to fraction form
    65,194.47/89,965.23 = 40,039.11/x
  3. Step 3: Cross multiply
    65,194.47x = 89,965.23 × 40,039.11
  4. Step 4: Simplify right side
    65,194.47x = 3,602,127,740.15
  5. Step 5: Solve for x
    x = 3,602,127,740.15/65,194.47
  6. Step 6: Final answer
    x = 55,252.04

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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.