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Finding the Fourth Proportional to 60,518, 83,514.84 and 34,022

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Solution

The fourth proportional to 60,518, 83,514.84 and 34,022 is: 46,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,518 : 83,514.84 = 34,022 : x
  2. Step 2: Convert to fraction form
    60,518/83,514.84 = 34,022/x
  3. Step 3: Cross multiply
    60,518x = 83,514.84 × 34,022
  4. Step 4: Simplify right side
    60,518x = 2,841,341,886.48
  5. Step 5: Solve for x
    x = 2,841,341,886.48/60,518
  6. Step 6: Final answer
    x = 46,950.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.