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Finding the Fourth Proportional to 57,878.40, 86,822.40 and 18,434.40

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Solution

The fourth proportional to 57,878.40, 86,822.40 and 18,434.40 is: 27,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,878.40 : 86,822.40 = 18,434.40 : x
  2. Step 2: Convert to fraction form
    57,878.40/86,822.40 = 18,434.40/x
  3. Step 3: Cross multiply
    57,878.40x = 86,822.40 × 18,434.40
  4. Step 4: Simplify right side
    57,878.40x = 1,600,518,850.56
  5. Step 5: Solve for x
    x = 1,600,518,850.56/57,878.40
  6. Step 6: Final answer
    x = 27,653.13

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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.