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Finding the Fourth Proportional to 29,159.34, 43,734.32 and 10,435.90

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Solution

The fourth proportional to 29,159.34, 43,734.32 and 10,435.90 is: 15,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,159.34 : 43,734.32 = 10,435.90 : x
  2. Step 2: Convert to fraction form
    29,159.34/43,734.32 = 10,435.90/x
  3. Step 3: Cross multiply
    29,159.34x = 43,734.32 × 10,435.90
  4. Step 4: Simplify right side
    29,159.34x = 456,406,990.09
  5. Step 5: Solve for x
    x = 456,406,990.09/29,159.34
  6. Step 6: Final answer
    x = 15,652.17

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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.