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Finding the Fourth Proportional to 55,866, 77,094.40 and 41,589.62

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Solution

The fourth proportional to 55,866, 77,094.40 and 41,589.62 is: 57,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,866 : 77,094.40 = 41,589.62 : x
  2. Step 2: Convert to fraction form
    55,866/77,094.40 = 41,589.62/x
  3. Step 3: Cross multiply
    55,866x = 77,094.40 × 41,589.62
  4. Step 4: Simplify right side
    55,866x = 3,206,326,206.71
  5. Step 5: Solve for x
    x = 3,206,326,206.71/55,866
  6. Step 6: Final answer
    x = 57,393.16

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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.