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Finding the Fourth Proportional to 67,536, 101,269.36 and 35,964

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Solution

The fourth proportional to 67,536, 101,269.36 and 35,964 is: 53,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,536 : 101,269.36 = 35,964 : x
  2. Step 2: Convert to fraction form
    67,536/101,269.36 = 35,964/x
  3. Step 3: Cross multiply
    67,536x = 101,269.36 × 35,964
  4. Step 4: Simplify right side
    67,536x = 3,642,051,263.04
  5. Step 5: Solve for x
    x = 3,642,051,263.04/67,536
  6. Step 6: Final answer
    x = 53,927.55

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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.