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Finding the Fourth Proportional to 32,896.34, 49,348.35 and 11,542.52

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Solution

The fourth proportional to 32,896.34, 49,348.35 and 11,542.52 is: 17,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.34 : 49,348.35 = 11,542.52 : x
  2. Step 2: Convert to fraction form
    32,896.34/49,348.35 = 11,542.52/x
  3. Step 3: Cross multiply
    32,896.34x = 49,348.35 × 11,542.52
  4. Step 4: Simplify right side
    32,896.34x = 569,604,070.10
  5. Step 5: Solve for x
    x = 569,604,070.10/32,896.34
  6. Step 6: Final answer
    x = 17,315.12

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