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Finding the Fourth Proportional to 38,269.80, 52,813.35 and 23,159.25

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Solution

The fourth proportional to 38,269.80, 52,813.35 and 23,159.25 is: 31,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,269.80 : 52,813.35 = 23,159.25 : x
  2. Step 2: Convert to fraction form
    38,269.80/52,813.35 = 23,159.25/x
  3. Step 3: Cross multiply
    38,269.80x = 52,813.35 × 23,159.25
  4. Step 4: Simplify right side
    38,269.80x = 1,223,117,575.99
  5. Step 5: Solve for x
    x = 1,223,117,575.99/38,269.80
  6. Step 6: Final answer
    x = 31,960.39

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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.