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Finding the Fourth Proportional to 75,133.95, 103,686.13 and 41,141.90

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Solution

The fourth proportional to 75,133.95, 103,686.13 and 41,141.90 is: 56,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,133.95 : 103,686.13 = 41,141.90 : x
  2. Step 2: Convert to fraction form
    75,133.95/103,686.13 = 41,141.90/x
  3. Step 3: Cross multiply
    75,133.95x = 103,686.13 × 41,141.90
  4. Step 4: Simplify right side
    75,133.95x = 4,265,844,313.67
  5. Step 5: Solve for x
    x = 4,265,844,313.67/75,133.95
  6. Step 6: Final answer
    x = 56,776.52

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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.