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Finding the Fourth Proportional to 33,085.04, 49,630.29 and 10,599

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Solution

The fourth proportional to 33,085.04, 49,630.29 and 10,599 is: 15,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085.04 : 49,630.29 = 10,599 : x
  2. Step 2: Convert to fraction form
    33,085.04/49,630.29 = 10,599/x
  3. Step 3: Cross multiply
    33,085.04x = 49,630.29 × 10,599
  4. Step 4: Simplify right side
    33,085.04x = 526,031,443.71
  5. Step 5: Solve for x
    x = 526,031,443.71/33,085.04
  6. Step 6: Final answer
    x = 15,899.37

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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.