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Finding the Fourth Proportional to 54,583.68, 75,297.88 and 31,907.84

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Solution

The fourth proportional to 54,583.68, 75,297.88 and 31,907.84 is: 44,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,583.68 : 75,297.88 = 31,907.84 : x
  2. Step 2: Convert to fraction form
    54,583.68/75,297.88 = 31,907.84/x
  3. Step 3: Cross multiply
    54,583.68x = 75,297.88 × 31,907.84
  4. Step 4: Simplify right side
    54,583.68x = 2,402,592,707.38
  5. Step 5: Solve for x
    x = 2,402,592,707.38/54,583.68
  6. Step 6: Final answer
    x = 44,016.69

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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.