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Finding the Fourth Proportional to 52,062.70, 77,984.70 and 43,314.70

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Solution

The fourth proportional to 52,062.70, 77,984.70 and 43,314.70 is: 64,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,062.70 : 77,984.70 = 43,314.70 : x
  2. Step 2: Convert to fraction form
    52,062.70/77,984.70 = 43,314.70/x
  3. Step 3: Cross multiply
    52,062.70x = 77,984.70 × 43,314.70
  4. Step 4: Simplify right side
    52,062.70x = 3,377,883,885.09
  5. Step 5: Solve for x
    x = 3,377,883,885.09/52,062.70
  6. Step 6: Final answer
    x = 64,881.07

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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.