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Finding the Fourth Proportional to 82,232.16, 113,480.64 and 44,506.56

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Solution

The fourth proportional to 82,232.16, 113,480.64 and 44,506.56 is: 61,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,232.16 : 113,480.64 = 44,506.56 : x
  2. Step 2: Convert to fraction form
    82,232.16/113,480.64 = 44,506.56/x
  3. Step 3: Cross multiply
    82,232.16x = 113,480.64 × 44,506.56
  4. Step 4: Simplify right side
    82,232.16x = 5,050,632,913.00
  5. Step 5: Solve for x
    x = 5,050,632,913.00/82,232.16
  6. Step 6: Final answer
    x = 61,419.19

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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.