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Finding the Fourth Proportional to 67,015.39, 92,468.38 and 42,829

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Solution

The fourth proportional to 67,015.39, 92,468.38 and 42,829 is: 59,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,015.39 : 92,468.38 = 42,829 : x
  2. Step 2: Convert to fraction form
    67,015.39/92,468.38 = 42,829/x
  3. Step 3: Cross multiply
    67,015.39x = 92,468.38 × 42,829
  4. Step 4: Simplify right side
    67,015.39x = 3,960,328,247.02
  5. Step 5: Solve for x
    x = 3,960,328,247.02/67,015.39
  6. Step 6: Final answer
    x = 59,095.80

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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.