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Finding the Fourth Proportional to 82,952.80, 114,442.20 and 51,066.28

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Solution

The fourth proportional to 82,952.80, 114,442.20 and 51,066.28 is: 70,451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952.80 : 114,442.20 = 51,066.28 : x
  2. Step 2: Convert to fraction form
    82,952.80/114,442.20 = 51,066.28/x
  3. Step 3: Cross multiply
    82,952.80x = 114,442.20 × 51,066.28
  4. Step 4: Simplify right side
    82,952.80x = 5,844,137,429.02
  5. Step 5: Solve for x
    x = 5,844,137,429.02/82,952.80
  6. Step 6: Final answer
    x = 70,451.36

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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.