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Finding the Fourth Proportional to 82,017.66, 123,026.50 and 46,932.51

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Solution

The fourth proportional to 82,017.66, 123,026.50 and 46,932.51 is: 70,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,017.66 : 123,026.50 = 46,932.51 : x
  2. Step 2: Convert to fraction form
    82,017.66/123,026.50 = 46,932.51/x
  3. Step 3: Cross multiply
    82,017.66x = 123,026.50 × 46,932.51
  4. Step 4: Simplify right side
    82,017.66x = 5,773,942,514.42
  5. Step 5: Solve for x
    x = 5,773,942,514.42/82,017.66
  6. Step 6: Final answer
    x = 70,398.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.