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Finding the Fourth Proportional to 83,601.49, 115,424.10 and 51,804.13

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Solution

The fourth proportional to 83,601.49, 115,424.10 and 51,804.13 is: 71,523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,601.49 : 115,424.10 = 51,804.13 : x
  2. Step 2: Convert to fraction form
    83,601.49/115,424.10 = 51,804.13/x
  3. Step 3: Cross multiply
    83,601.49x = 115,424.10 × 51,804.13
  4. Step 4: Simplify right side
    83,601.49x = 5,979,445,081.53
  5. Step 5: Solve for x
    x = 5,979,445,081.53/83,601.49
  6. Step 6: Final answer
    x = 71,523.19

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1.5x scale

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.