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Finding the Fourth Proportional to 65,877.31, 90,954.59 and 44,399

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Solution

The fourth proportional to 65,877.31, 90,954.59 and 44,399 is: 61,300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,877.31 : 90,954.59 = 44,399 : x
  2. Step 2: Convert to fraction form
    65,877.31/90,954.59 = 44,399/x
  3. Step 3: Cross multiply
    65,877.31x = 90,954.59 × 44,399
  4. Step 4: Simplify right side
    65,877.31x = 4,038,292,841.41
  5. Step 5: Solve for x
    x = 4,038,292,841.41/65,877.31
  6. Step 6: Final answer
    x = 61,300.21

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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.