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Finding the Fourth Proportional to 82,593.12, 113,975.28 and 46,785.12

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Solution

The fourth proportional to 82,593.12, 113,975.28 and 46,785.12 is: 64,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,593.12 : 113,975.28 = 46,785.12 : x
  2. Step 2: Convert to fraction form
    82,593.12/113,975.28 = 46,785.12/x
  3. Step 3: Cross multiply
    82,593.12x = 113,975.28 × 46,785.12
  4. Step 4: Simplify right side
    82,593.12x = 5,332,347,151.83
  5. Step 5: Solve for x
    x = 5,332,347,151.83/82,593.12
  6. Step 6: Final answer
    x = 64,561.64

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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.