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Finding the Fourth Proportional to 65,977.78, 91,061.52 and 37,683.46

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Solution

The fourth proportional to 65,977.78, 91,061.52 and 37,683.46 is: 52,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,977.78 : 91,061.52 = 37,683.46 : x
  2. Step 2: Convert to fraction form
    65,977.78/91,061.52 = 37,683.46/x
  3. Step 3: Cross multiply
    65,977.78x = 91,061.52 × 37,683.46
  4. Step 4: Simplify right side
    65,977.78x = 3,431,513,146.46
  5. Step 5: Solve for x
    x = 3,431,513,146.46/65,977.78
  6. Step 6: Final answer
    x = 52,010.13

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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.