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Finding the Fourth Proportional to 52,095.70, 78,034.20 and 43,347.70

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Solution

The fourth proportional to 52,095.70, 78,034.20 and 43,347.70 is: 64,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,095.70 : 78,034.20 = 43,347.70 : x
  2. Step 2: Convert to fraction form
    52,095.70/78,034.20 = 43,347.70/x
  3. Step 3: Cross multiply
    52,095.70x = 78,034.20 × 43,347.70
  4. Step 4: Simplify right side
    52,095.70x = 3,382,603,091.34
  5. Step 5: Solve for x
    x = 3,382,603,091.34/52,095.70
  6. Step 6: Final answer
    x = 64,930.56

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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.