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Finding the Fourth Proportional to 35,424, 48,855.84 and 23,490.32

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Solution

The fourth proportional to 35,424, 48,855.84 and 23,490.32 is: 32,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,424 : 48,855.84 = 23,490.32 : x
  2. Step 2: Convert to fraction form
    35,424/48,855.84 = 23,490.32/x
  3. Step 3: Cross multiply
    35,424x = 48,855.84 × 23,490.32
  4. Step 4: Simplify right side
    35,424x = 1,147,639,315.47
  5. Step 5: Solve for x
    x = 1,147,639,315.47/35,424
  6. Step 6: Final answer
    x = 32,397.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.