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Finding the Fourth Proportional to 33,103.16, 49,654.76 and 9,746

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Solution

The fourth proportional to 33,103.16, 49,654.76 and 9,746 is: 14,619.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,103.16 : 49,654.76 = 9,746 : x
  2. Step 2: Convert to fraction form
    33,103.16/49,654.76 = 9,746/x
  3. Step 3: Cross multiply
    33,103.16x = 49,654.76 × 9,746
  4. Step 4: Simplify right side
    33,103.16x = 483,935,290.96
  5. Step 5: Solve for x
    x = 483,935,290.96/33,103.16
  6. Step 6: Final answer
    x = 14,619.01

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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.