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Finding the Fourth Proportional to 55,642.88, 83,464.48 and 14,089.84

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Solution

The fourth proportional to 55,642.88, 83,464.48 and 14,089.84 is: 21,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,642.88 : 83,464.48 = 14,089.84 : x
  2. Step 2: Convert to fraction form
    55,642.88/83,464.48 = 14,089.84/x
  3. Step 3: Cross multiply
    55,642.88x = 83,464.48 × 14,089.84
  4. Step 4: Simplify right side
    55,642.88x = 1,176,001,168.88
  5. Step 5: Solve for x
    x = 1,176,001,168.88/55,642.88
  6. Step 6: Final answer
    x = 21,134.80

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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.