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Finding the Fourth Proportional to 40,826, 61,239.04 and 16,202

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Solution

The fourth proportional to 40,826, 61,239.04 and 16,202 is: 24,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,826 : 61,239.04 = 16,202 : x
  2. Step 2: Convert to fraction form
    40,826/61,239.04 = 16,202/x
  3. Step 3: Cross multiply
    40,826x = 61,239.04 × 16,202
  4. Step 4: Simplify right side
    40,826x = 992,194,926.08
  5. Step 5: Solve for x
    x = 992,194,926.08/40,826
  6. Step 6: Final answer
    x = 24,303.02

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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.