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Finding the Fourth Proportional to 83,534.70, 125,246.70 and 46,112.70

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Solution

The fourth proportional to 83,534.70, 125,246.70 and 46,112.70 is: 69,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,534.70 : 125,246.70 = 46,112.70 : x
  2. Step 2: Convert to fraction form
    83,534.70/125,246.70 = 46,112.70/x
  3. Step 3: Cross multiply
    83,534.70x = 125,246.70 × 46,112.70
  4. Step 4: Simplify right side
    83,534.70x = 5,775,463,503.09
  5. Step 5: Solve for x
    x = 5,775,463,503.09/83,534.70
  6. Step 6: Final answer
    x = 69,138.50

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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.