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Finding the Fourth Proportional to 83,313.41, 114,972.02 and 45,072.83

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Solution

The fourth proportional to 83,313.41, 114,972.02 and 45,072.83 is: 62,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,313.41 : 114,972.02 = 45,072.83 : x
  2. Step 2: Convert to fraction form
    83,313.41/114,972.02 = 45,072.83/x
  3. Step 3: Cross multiply
    83,313.41x = 114,972.02 × 45,072.83
  4. Step 4: Simplify right side
    83,313.41x = 5,182,114,543.31
  5. Step 5: Solve for x
    x = 5,182,114,543.31/83,313.41
  6. Step 6: Final answer
    x = 62,200.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.