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Finding the Fourth Proportional to 60,781.84, 91,138.56 and 41,828.74

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Solution

The fourth proportional to 60,781.84, 91,138.56 and 41,828.74 is: 62,719.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,781.84 : 91,138.56 = 41,828.74 : x
  2. Step 2: Convert to fraction form
    60,781.84/91,138.56 = 41,828.74/x
  3. Step 3: Cross multiply
    60,781.84x = 91,138.56 × 41,828.74
  4. Step 4: Simplify right side
    60,781.84x = 3,812,211,130.21
  5. Step 5: Solve for x
    x = 3,812,211,130.21/60,781.84
  6. Step 6: Final answer
    x = 62,719.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.