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Finding the Fourth Proportional to 29,234.19, 40,316.70 and 19,159

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Solution

The fourth proportional to 29,234.19, 40,316.70 and 19,159 is: 26,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,234.19 : 40,316.70 = 19,159 : x
  2. Step 2: Convert to fraction form
    29,234.19/40,316.70 = 19,159/x
  3. Step 3: Cross multiply
    29,234.19x = 40,316.70 × 19,159
  4. Step 4: Simplify right side
    29,234.19x = 772,427,655.30
  5. Step 5: Solve for x
    x = 772,427,655.30/29,234.19
  6. Step 6: Final answer
    x = 26,422.06

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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.