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Finding the Fourth Proportional to 52,096.70, 78,035.70 and 43,348.70

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Solution

The fourth proportional to 52,096.70, 78,035.70 and 43,348.70 is: 64,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,096.70 : 78,035.70 = 43,348.70 : x
  2. Step 2: Convert to fraction form
    52,096.70/78,035.70 = 43,348.70/x
  3. Step 3: Cross multiply
    52,096.70x = 78,035.70 × 43,348.70
  4. Step 4: Simplify right side
    52,096.70x = 3,382,746,148.59
  5. Step 5: Solve for x
    x = 3,382,746,148.59/52,096.70
  6. Step 6: Final answer
    x = 64,932.06

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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.