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Finding the Fourth Proportional to 92,509.56, 138,803.94 and 29,334.87

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Solution

The fourth proportional to 92,509.56, 138,803.94 and 29,334.87 is: 44,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,509.56 : 138,803.94 = 29,334.87 : x
  2. Step 2: Convert to fraction form
    92,509.56/138,803.94 = 29,334.87/x
  3. Step 3: Cross multiply
    92,509.56x = 138,803.94 × 29,334.87
  4. Step 4: Simplify right side
    92,509.56x = 4,071,795,535.39
  5. Step 5: Solve for x
    x = 4,071,795,535.39/92,509.56
  6. Step 6: Final answer
    x = 44,014.86

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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.