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Finding the Fourth Proportional to 31,788.52, 43,858.02 and 18,358

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Solution

The fourth proportional to 31,788.52, 43,858.02 and 18,358 is: 25,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788.52 : 43,858.02 = 18,358 : x
  2. Step 2: Convert to fraction form
    31,788.52/43,858.02 = 18,358/x
  3. Step 3: Cross multiply
    31,788.52x = 43,858.02 × 18,358
  4. Step 4: Simplify right side
    31,788.52x = 805,145,531.16
  5. Step 5: Solve for x
    x = 805,145,531.16/31,788.52
  6. Step 6: Final answer
    x = 25,328.19

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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.