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Finding the Fourth Proportional to 29,152.85, 43,724.58 and 10,429.40

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Solution

The fourth proportional to 29,152.85, 43,724.58 and 10,429.40 is: 15,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,152.85 : 43,724.58 = 10,429.40 : x
  2. Step 2: Convert to fraction form
    29,152.85/43,724.58 = 10,429.40/x
  3. Step 3: Cross multiply
    29,152.85x = 43,724.58 × 10,429.40
  4. Step 4: Simplify right side
    29,152.85x = 456,020,916.03
  5. Step 5: Solve for x
    x = 456,020,916.03/29,152.85
  6. Step 6: Final answer
    x = 15,642.42

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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.