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Finding the Fourth Proportional to 67,878.16, 101,817.24 and 21,135.76

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Solution

The fourth proportional to 67,878.16, 101,817.24 and 21,135.76 is: 31,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,878.16 : 101,817.24 = 21,135.76 : x
  2. Step 2: Convert to fraction form
    67,878.16/101,817.24 = 21,135.76/x
  3. Step 3: Cross multiply
    67,878.16x = 101,817.24 × 21,135.76
  4. Step 4: Simplify right side
    67,878.16x = 2,151,984,748.50
  5. Step 5: Solve for x
    x = 2,151,984,748.50/67,878.16
  6. Step 6: Final answer
    x = 31,703.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.