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Finding the Fourth Proportional to 55,907.92, 83,859.15 and 20,844.84

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Solution

The fourth proportional to 55,907.92, 83,859.15 and 20,844.84 is: 31,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,907.92 : 83,859.15 = 20,844.84 : x
  2. Step 2: Convert to fraction form
    55,907.92/83,859.15 = 20,844.84/x
  3. Step 3: Cross multiply
    55,907.92x = 83,859.15 × 20,844.84
  4. Step 4: Simplify right side
    55,907.92x = 1,748,030,839.67
  5. Step 5: Solve for x
    x = 1,748,030,839.67/55,907.92
  6. Step 6: Final answer
    x = 31,266.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.