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Finding the Fourth Proportional to 84,147.25, 116,123.19 and 48,337.25

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Solution

The fourth proportional to 84,147.25, 116,123.19 and 48,337.25 is: 66,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,147.25 : 116,123.19 = 48,337.25 : x
  2. Step 2: Convert to fraction form
    84,147.25/116,123.19 = 48,337.25/x
  3. Step 3: Cross multiply
    84,147.25x = 116,123.19 × 48,337.25
  4. Step 4: Simplify right side
    84,147.25x = 5,613,075,085.21
  5. Step 5: Solve for x
    x = 5,613,075,085.21/84,147.25
  6. Step 6: Final answer
    x = 66,705.39

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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.