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Finding the Fourth Proportional to 55,341.82, 82,581.10 and 49,377.72

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Solution

The fourth proportional to 55,341.82, 82,581.10 and 49,377.72 is: 73,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,341.82 : 82,581.10 = 49,377.72 : x
  2. Step 2: Convert to fraction form
    55,341.82/82,581.10 = 49,377.72/x
  3. Step 3: Cross multiply
    55,341.82x = 82,581.10 × 49,377.72
  4. Step 4: Simplify right side
    55,341.82x = 4,077,666,433.09
  5. Step 5: Solve for x
    x = 4,077,666,433.09/55,341.82
  6. Step 6: Final answer
    x = 73,681.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.