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Finding the Fourth Proportional to 82,928.13, 114,441.02 and 45,202.38

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Solution

The fourth proportional to 82,928.13, 114,441.02 and 45,202.38 is: 62,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,928.13 : 114,441.02 = 45,202.38 : x
  2. Step 2: Convert to fraction form
    82,928.13/114,441.02 = 45,202.38/x
  3. Step 3: Cross multiply
    82,928.13x = 114,441.02 × 45,202.38
  4. Step 4: Simplify right side
    82,928.13x = 5,173,006,473.63
  5. Step 5: Solve for x
    x = 5,173,006,473.63/82,928.13
  6. Step 6: Final answer
    x = 62,379.39

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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.