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Finding the Fourth Proportional to 48,274.26, 66,618.38 and 29,411.40

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Solution

The fourth proportional to 48,274.26, 66,618.38 and 29,411.40 is: 40,587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,274.26 : 66,618.38 = 29,411.40 : x
  2. Step 2: Convert to fraction form
    48,274.26/66,618.38 = 29,411.40/x
  3. Step 3: Cross multiply
    48,274.26x = 66,618.38 × 29,411.40
  4. Step 4: Simplify right side
    48,274.26x = 1,959,339,674.48
  5. Step 5: Solve for x
    x = 1,959,339,674.48/48,274.26
  6. Step 6: Final answer
    x = 40,587.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.