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Finding the Fourth Proportional to 34,016.30, 46,926.16 and 29,292.38

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Solution

The fourth proportional to 34,016.30, 46,926.16 and 29,292.38 is: 40,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,016.30 : 46,926.16 = 29,292.38 : x
  2. Step 2: Convert to fraction form
    34,016.30/46,926.16 = 29,292.38/x
  3. Step 3: Cross multiply
    34,016.30x = 46,926.16 × 29,292.38
  4. Step 4: Simplify right side
    34,016.30x = 1,374,578,602.80
  5. Step 5: Solve for x
    x = 1,374,578,602.80/34,016.30
  6. Step 6: Final answer
    x = 40,409.42

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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.