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Finding the Fourth Proportional to 35,234.56, 52,802.56 and 16,494.40

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Solution

The fourth proportional to 35,234.56, 52,802.56 and 16,494.40 is: 24,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,234.56 : 52,802.56 = 16,494.40 : x
  2. Step 2: Convert to fraction form
    35,234.56/52,802.56 = 16,494.40/x
  3. Step 3: Cross multiply
    35,234.56x = 52,802.56 × 16,494.40
  4. Step 4: Simplify right side
    35,234.56x = 870,946,545.66
  5. Step 5: Solve for x
    x = 870,946,545.66/35,234.56
  6. Step 6: Final answer
    x = 24,718.53

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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.