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Finding the Fourth Proportional to 92,107.12, 138,157.44 and 29,776

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Solution

The fourth proportional to 92,107.12, 138,157.44 and 29,776 is: 44,662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,107.12 : 138,157.44 = 29,776 : x
  2. Step 2: Convert to fraction form
    92,107.12/138,157.44 = 29,776/x
  3. Step 3: Cross multiply
    92,107.12x = 138,157.44 × 29,776
  4. Step 4: Simplify right side
    92,107.12x = 4,113,775,933.44
  5. Step 5: Solve for x
    x = 4,113,775,933.44/92,107.12
  6. Step 6: Final answer
    x = 44,662.95

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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.