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Finding the Fourth Proportional to 34,685.78, 52,025.99 and 9,724.50

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Solution

The fourth proportional to 34,685.78, 52,025.99 and 9,724.50 is: 14,586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,685.78 : 52,025.99 = 9,724.50 : x
  2. Step 2: Convert to fraction form
    34,685.78/52,025.99 = 9,724.50/x
  3. Step 3: Cross multiply
    34,685.78x = 52,025.99 × 9,724.50
  4. Step 4: Simplify right side
    34,685.78x = 505,926,691.13
  5. Step 5: Solve for x
    x = 505,926,691.13/34,685.78
  6. Step 6: Final answer
    x = 14,586.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.