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Finding the Fourth Proportional to 75,132.77, 103,682.98 and 41,598.77

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Solution

The fourth proportional to 75,132.77, 103,682.98 and 41,598.77 is: 57,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,132.77 : 103,682.98 = 41,598.77 : x
  2. Step 2: Convert to fraction form
    75,132.77/103,682.98 = 41,598.77/x
  3. Step 3: Cross multiply
    75,132.77x = 103,682.98 × 41,598.77
  4. Step 4: Simplify right side
    75,132.77x = 4,313,084,437.93
  5. Step 5: Solve for x
    x = 4,313,084,437.93/75,132.77
  6. Step 6: Final answer
    x = 57,406.17

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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.