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Finding the Fourth Proportional to 68,702.22, 103,082.98 and 37,106

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Solution

The fourth proportional to 68,702.22, 103,082.98 and 37,106 is: 55,675.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,702.22 : 103,082.98 = 37,106 : x
  2. Step 2: Convert to fraction form
    68,702.22/103,082.98 = 37,106/x
  3. Step 3: Cross multiply
    68,702.22x = 103,082.98 × 37,106
  4. Step 4: Simplify right side
    68,702.22x = 3,824,997,055.88
  5. Step 5: Solve for x
    x = 3,824,997,055.88/68,702.22
  6. Step 6: Final answer
    x = 55,675.01

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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.