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Finding the Fourth Proportional to 84,034.56, 115,968.32 and 46,310.08

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Solution

The fourth proportional to 84,034.56, 115,968.32 and 46,310.08 is: 63,908.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,034.56 : 115,968.32 = 46,310.08 : x
  2. Step 2: Convert to fraction form
    84,034.56/115,968.32 = 46,310.08/x
  3. Step 3: Cross multiply
    84,034.56x = 115,968.32 × 46,310.08
  4. Step 4: Simplify right side
    84,034.56x = 5,370,502,176.67
  5. Step 5: Solve for x
    x = 5,370,502,176.67/84,034.56
  6. Step 6: Final answer
    x = 63,908.26

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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.