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Finding the Fourth Proportional to 83,235.56, 114,865.22 and 45,509.80

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Solution

The fourth proportional to 83,235.56, 114,865.22 and 45,509.80 is: 62,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,235.56 : 114,865.22 = 45,509.80 : x
  2. Step 2: Convert to fraction form
    83,235.56/114,865.22 = 45,509.80/x
  3. Step 3: Cross multiply
    83,235.56x = 114,865.22 × 45,509.80
  4. Step 4: Simplify right side
    83,235.56x = 5,227,493,189.16
  5. Step 5: Solve for x
    x = 5,227,493,189.16/83,235.56
  6. Step 6: Final answer
    x = 62,803.60

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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.