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Finding the Fourth Proportional to 29,098.17, 43,648.98 and 9,111.40

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Solution

The fourth proportional to 29,098.17, 43,648.98 and 9,111.40 is: 13,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098.17 : 43,648.98 = 9,111.40 : x
  2. Step 2: Convert to fraction form
    29,098.17/43,648.98 = 9,111.40/x
  3. Step 3: Cross multiply
    29,098.17x = 43,648.98 × 9,111.40
  4. Step 4: Simplify right side
    29,098.17x = 397,703,316.37
  5. Step 5: Solve for x
    x = 397,703,316.37/29,098.17
  6. Step 6: Final answer
    x = 13,667.64

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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.