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Finding the Fourth Proportional to 77,546.60, 116,319.90 and 22,135.40

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Solution

The fourth proportional to 77,546.60, 116,319.90 and 22,135.40 is: 33,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,546.60 : 116,319.90 = 22,135.40 : x
  2. Step 2: Convert to fraction form
    77,546.60/116,319.90 = 22,135.40/x
  3. Step 3: Cross multiply
    77,546.60x = 116,319.90 × 22,135.40
  4. Step 4: Simplify right side
    77,546.60x = 2,574,787,514.46
  5. Step 5: Solve for x
    x = 2,574,787,514.46/77,546.60
  6. Step 6: Final answer
    x = 33,203.10

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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.