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Finding the Fourth Proportional to 35,498, 48,987.24 and 20,596.88

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Solution

The fourth proportional to 35,498, 48,987.24 and 20,596.88 is: 28,423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,498 : 48,987.24 = 20,596.88 : x
  2. Step 2: Convert to fraction form
    35,498/48,987.24 = 20,596.88/x
  3. Step 3: Cross multiply
    35,498x = 48,987.24 × 20,596.88
  4. Step 4: Simplify right side
    35,498x = 1,008,984,303.81
  5. Step 5: Solve for x
    x = 1,008,984,303.81/35,498
  6. Step 6: Final answer
    x = 28,423.69

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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.