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Finding the Fourth Proportional to 34,013.52, 46,961.55 and 30,417.30

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Solution

The fourth proportional to 34,013.52, 46,961.55 and 30,417.30 is: 41,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,013.52 : 46,961.55 = 30,417.30 : x
  2. Step 2: Convert to fraction form
    34,013.52/46,961.55 = 30,417.30/x
  3. Step 3: Cross multiply
    34,013.52x = 46,961.55 × 30,417.30
  4. Step 4: Simplify right side
    34,013.52x = 1,428,443,554.82
  5. Step 5: Solve for x
    x = 1,428,443,554.82/34,013.52
  6. Step 6: Final answer
    x = 41,996.35

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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.