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Finding the Fourth Proportional to 82,453.61, 113,786.02 and 46,642.87

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Solution

The fourth proportional to 82,453.61, 113,786.02 and 46,642.87 is: 64,367.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,453.61 : 113,786.02 = 46,642.87 : x
  2. Step 2: Convert to fraction form
    82,453.61/113,786.02 = 46,642.87/x
  3. Step 3: Cross multiply
    82,453.61x = 113,786.02 × 46,642.87
  4. Step 4: Simplify right side
    82,453.61x = 5,307,306,538.68
  5. Step 5: Solve for x
    x = 5,307,306,538.68/82,453.61
  6. Step 6: Final answer
    x = 64,367.18

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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.