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Finding the Fourth Proportional to 75,062.16, 103,549.32 and 49,578.48

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Solution

The fourth proportional to 75,062.16, 103,549.32 and 49,578.48 is: 68,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,062.16 : 103,549.32 = 49,578.48 : x
  2. Step 2: Convert to fraction form
    75,062.16/103,549.32 = 49,578.48/x
  3. Step 3: Cross multiply
    75,062.16x = 103,549.32 × 49,578.48
  4. Step 4: Simplify right side
    75,062.16x = 5,133,817,890.63
  5. Step 5: Solve for x
    x = 5,133,817,890.63/75,062.16
  6. Step 6: Final answer
    x = 68,394.22

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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.