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Finding the Fourth Proportional to 35,456.49, 53,184.50 and 10,832.49

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Solution

The fourth proportional to 35,456.49, 53,184.50 and 10,832.49 is: 16,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,456.49 : 53,184.50 = 10,832.49 : x
  2. Step 2: Convert to fraction form
    35,456.49/53,184.50 = 10,832.49/x
  3. Step 3: Cross multiply
    35,456.49x = 53,184.50 × 10,832.49
  4. Step 4: Simplify right side
    35,456.49x = 576,120,510.24
  5. Step 5: Solve for x
    x = 576,120,510.24/35,456.49
  6. Step 6: Final answer
    x = 16,248.66

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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.