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Finding the Fourth Proportional to 67,657.83, 101,485.64 and 23,284.98

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Solution

The fourth proportional to 67,657.83, 101,485.64 and 23,284.98 is: 34,927.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,657.83 : 101,485.64 = 23,284.98 : x
  2. Step 2: Convert to fraction form
    67,657.83/101,485.64 = 23,284.98/x
  3. Step 3: Cross multiply
    67,657.83x = 101,485.64 × 23,284.98
  4. Step 4: Simplify right side
    67,657.83x = 2,363,091,155.90
  5. Step 5: Solve for x
    x = 2,363,091,155.90/67,657.83
  6. Step 6: Final answer
    x = 34,927.09

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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.