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Finding the Fourth Proportional to 83,477.10, 115,197.75 and 45,751.26

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Solution

The fourth proportional to 83,477.10, 115,197.75 and 45,751.26 is: 63,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,477.10 : 115,197.75 = 45,751.26 : x
  2. Step 2: Convert to fraction form
    83,477.10/115,197.75 = 45,751.26/x
  3. Step 3: Cross multiply
    83,477.10x = 115,197.75 × 45,751.26
  4. Step 4: Simplify right side
    83,477.10x = 5,270,442,211.67
  5. Step 5: Solve for x
    x = 5,270,442,211.67/83,477.10
  6. Step 6: Final answer
    x = 63,136.38

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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.