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Finding the Fourth Proportional to 84,020.18, 115,950 and 46,294.46

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Solution

The fourth proportional to 84,020.18, 115,950 and 46,294.46 is: 63,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,020.18 : 115,950 = 46,294.46 : x
  2. Step 2: Convert to fraction form
    84,020.18/115,950 = 46,294.46/x
  3. Step 3: Cross multiply
    84,020.18x = 115,950 × 46,294.46
  4. Step 4: Simplify right side
    84,020.18x = 5,367,842,637
  5. Step 5: Solve for x
    x = 5,367,842,637/84,020.18
  6. Step 6: Final answer
    x = 63,887.54

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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.