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Finding the Fourth Proportional to 83,122, 114,709 and 45,396.26

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Solution

The fourth proportional to 83,122, 114,709 and 45,396.26 is: 62,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,122 : 114,709 = 45,396.26 : x
  2. Step 2: Convert to fraction form
    83,122/114,709 = 45,396.26/x
  3. Step 3: Cross multiply
    83,122x = 114,709 × 45,396.26
  4. Step 4: Simplify right side
    83,122x = 5,207,359,588.34
  5. Step 5: Solve for x
    x = 5,207,359,588.34/83,122
  6. Step 6: Final answer
    x = 62,647.19

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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.