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Finding the Fourth Proportional to 75,541.15, 113,761.42 and 65,798.11

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Solution

The fourth proportional to 75,541.15, 113,761.42 and 65,798.11 is: 99,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,541.15 : 113,761.42 = 65,798.11 : x
  2. Step 2: Convert to fraction form
    75,541.15/113,761.42 = 65,798.11/x
  3. Step 3: Cross multiply
    75,541.15x = 113,761.42 × 65,798.11
  4. Step 4: Simplify right side
    75,541.15x = 7,485,286,426.92
  5. Step 5: Solve for x
    x = 7,485,286,426.92/75,541.15
  6. Step 6: Final answer
    x = 99,088.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.