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Finding the Fourth Proportional to 60,010, 82,813.80 and 33,514

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Solution

The fourth proportional to 60,010, 82,813.80 and 33,514 is: 46,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,010 : 82,813.80 = 33,514 : x
  2. Step 2: Convert to fraction form
    60,010/82,813.80 = 33,514/x
  3. Step 3: Cross multiply
    60,010x = 82,813.80 × 33,514
  4. Step 4: Simplify right side
    60,010x = 2,775,421,693.20
  5. Step 5: Solve for x
    x = 2,775,421,693.20/60,010
  6. Step 6: Final answer
    x = 46,249.32

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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.