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Finding the Fourth Proportional to 65,274.60, 97,918.71 and 27,838.63

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Solution

The fourth proportional to 65,274.60, 97,918.71 and 27,838.63 is: 41,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,274.60 : 97,918.71 = 27,838.63 : x
  2. Step 2: Convert to fraction form
    65,274.60/97,918.71 = 27,838.63/x
  3. Step 3: Cross multiply
    65,274.60x = 97,918.71 × 27,838.63
  4. Step 4: Simplify right side
    65,274.60x = 2,725,922,737.77
  5. Step 5: Solve for x
    x = 2,725,922,737.77/65,274.60
  6. Step 6: Final answer
    x = 41,760.85

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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.