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Finding the Fourth Proportional to 45,314, 62,537.16 and 25,445.84

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Solution

The fourth proportional to 45,314, 62,537.16 and 25,445.84 is: 35,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,314 : 62,537.16 = 25,445.84 : x
  2. Step 2: Convert to fraction form
    45,314/62,537.16 = 25,445.84/x
  3. Step 3: Cross multiply
    45,314x = 62,537.16 × 25,445.84
  4. Step 4: Simplify right side
    45,314x = 1,591,310,567.41
  5. Step 5: Solve for x
    x = 1,591,310,567.41/45,314
  6. Step 6: Final answer
    x = 35,117.42

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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.