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Finding the Fourth Proportional to 61,195.84, 91,782.84 and 38,943.16

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Solution

The fourth proportional to 61,195.84, 91,782.84 and 38,943.16 is: 58,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,195.84 : 91,782.84 = 38,943.16 : x
  2. Step 2: Convert to fraction form
    61,195.84/91,782.84 = 38,943.16/x
  3. Step 3: Cross multiply
    61,195.84x = 91,782.84 × 38,943.16
  4. Step 4: Simplify right side
    61,195.84x = 3,574,313,823.37
  5. Step 5: Solve for x
    x = 3,574,313,823.37/61,195.84
  6. Step 6: Final answer
    x = 58,407.79

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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.