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Finding the Fourth Proportional to 57,759.84, 86,642.82 and 16,210.08

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Solution

The fourth proportional to 57,759.84, 86,642.82 and 16,210.08 is: 24,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,759.84 : 86,642.82 = 16,210.08 : x
  2. Step 2: Convert to fraction form
    57,759.84/86,642.82 = 16,210.08/x
  3. Step 3: Cross multiply
    57,759.84x = 86,642.82 × 16,210.08
  4. Step 4: Simplify right side
    57,759.84x = 1,404,487,043.63
  5. Step 5: Solve for x
    x = 1,404,487,043.63/57,759.84
  6. Step 6: Final answer
    x = 24,315.98

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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.