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Finding the Fourth Proportional to 67,657.70, 101,485.45 and 23,284.86

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Solution

The fourth proportional to 67,657.70, 101,485.45 and 23,284.86 is: 34,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,657.70 : 101,485.45 = 23,284.86 : x
  2. Step 2: Convert to fraction form
    67,657.70/101,485.45 = 23,284.86/x
  3. Step 3: Cross multiply
    67,657.70x = 101,485.45 × 23,284.86
  4. Step 4: Simplify right side
    67,657.70x = 2,363,074,495.29
  5. Step 5: Solve for x
    x = 2,363,074,495.29/67,657.70
  6. Step 6: Final answer
    x = 34,926.91

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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.