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Finding the Fourth Proportional to 92,585.31, 138,884.48 and 45,825.63

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Solution

The fourth proportional to 92,585.31, 138,884.48 and 45,825.63 is: 68,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,585.31 : 138,884.48 = 45,825.63 : x
  2. Step 2: Convert to fraction form
    92,585.31/138,884.48 = 45,825.63/x
  3. Step 3: Cross multiply
    92,585.31x = 138,884.48 × 45,825.63
  4. Step 4: Simplify right side
    92,585.31x = 6,364,468,213.36
  5. Step 5: Solve for x
    x = 6,364,468,213.36/92,585.31
  6. Step 6: Final answer
    x = 68,741.67

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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.