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Finding the Fourth Proportional to 82,955.32, 114,478.86 and 45,230.20

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Solution

The fourth proportional to 82,955.32, 114,478.86 and 45,230.20 is: 62,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,955.32 : 114,478.86 = 45,230.20 : x
  2. Step 2: Convert to fraction form
    82,955.32/114,478.86 = 45,230.20/x
  3. Step 3: Cross multiply
    82,955.32x = 114,478.86 × 45,230.20
  4. Step 4: Simplify right side
    82,955.32x = 5,177,901,733.57
  5. Step 5: Solve for x
    x = 5,177,901,733.57/82,955.32
  6. Step 6: Final answer
    x = 62,417.96

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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.