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Finding the Fourth Proportional to 82,773.62, 114,228.10 and 45,048.26

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Solution

The fourth proportional to 82,773.62, 114,228.10 and 45,048.26 is: 62,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,773.62 : 114,228.10 = 45,048.26 : x
  2. Step 2: Convert to fraction form
    82,773.62/114,228.10 = 45,048.26/x
  3. Step 3: Cross multiply
    82,773.62x = 114,228.10 × 45,048.26
  4. Step 4: Simplify right side
    82,773.62x = 5,145,776,464.34
  5. Step 5: Solve for x
    x = 5,145,776,464.34/82,773.62
  6. Step 6: Final answer
    x = 62,166.87

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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.