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Finding the Fourth Proportional to 66,967.96, 92,392.84 and 38,267

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Solution

The fourth proportional to 66,967.96, 92,392.84 and 38,267 is: 52,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,967.96 : 92,392.84 = 38,267 : x
  2. Step 2: Convert to fraction form
    66,967.96/92,392.84 = 38,267/x
  3. Step 3: Cross multiply
    66,967.96x = 92,392.84 × 38,267
  4. Step 4: Simplify right side
    66,967.96x = 3,535,596,808.28
  5. Step 5: Solve for x
    x = 3,535,596,808.28/66,967.96
  6. Step 6: Final answer
    x = 52,795.35

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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.