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Finding the Fourth Proportional to 35,209, 52,818.18 and 16,486.48

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Solution

The fourth proportional to 35,209, 52,818.18 and 16,486.48 is: 24,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,209 : 52,818.18 = 16,486.48 : x
  2. Step 2: Convert to fraction form
    35,209/52,818.18 = 16,486.48/x
  3. Step 3: Cross multiply
    35,209x = 52,818.18 × 16,486.48
  4. Step 4: Simplify right side
    35,209x = 870,785,868.21
  5. Step 5: Solve for x
    x = 870,785,868.21/35,209
  6. Step 6: Final answer
    x = 24,731.91

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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.