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Finding the Fourth Proportional to 77,034.80, 115,590.60 and 43,780.40

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Solution

The fourth proportional to 77,034.80, 115,590.60 and 43,780.40 is: 65,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,034.80 : 115,590.60 = 43,780.40 : x
  2. Step 2: Convert to fraction form
    77,034.80/115,590.60 = 43,780.40/x
  3. Step 3: Cross multiply
    77,034.80x = 115,590.60 × 43,780.40
  4. Step 4: Simplify right side
    77,034.80x = 5,060,602,704.24
  5. Step 5: Solve for x
    x = 5,060,602,704.24/77,034.80
  6. Step 6: Final answer
    x = 65,692.42

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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.