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Finding the Fourth Proportional to 55,641.72, 76,743.69 and 38,646

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Solution

The fourth proportional to 55,641.72, 76,743.69 and 38,646 is: 53,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,641.72 : 76,743.69 = 38,646 : x
  2. Step 2: Convert to fraction form
    55,641.72/76,743.69 = 38,646/x
  3. Step 3: Cross multiply
    55,641.72x = 76,743.69 × 38,646
  4. Step 4: Simplify right side
    55,641.72x = 2,965,836,643.74
  5. Step 5: Solve for x
    x = 2,965,836,643.74/55,641.72
  6. Step 6: Final answer
    x = 53,302.39

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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.