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Finding the Fourth Proportional to 29,830.32, 41,164.95 and 17,083.08

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Solution

The fourth proportional to 29,830.32, 41,164.95 and 17,083.08 is: 23,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.32 : 41,164.95 = 17,083.08 : x
  2. Step 2: Convert to fraction form
    29,830.32/41,164.95 = 17,083.08/x
  3. Step 3: Cross multiply
    29,830.32x = 41,164.95 × 17,083.08
  4. Step 4: Simplify right side
    29,830.32x = 703,224,134.05
  5. Step 5: Solve for x
    x = 703,224,134.05/29,830.32
  6. Step 6: Final answer
    x = 23,574.14

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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.