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Finding the Fourth Proportional to 97,714.28, 134,834.37 and 54,696.18

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Solution

The fourth proportional to 97,714.28, 134,834.37 and 54,696.18 is: 75,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,714.28 : 134,834.37 = 54,696.18 : x
  2. Step 2: Convert to fraction form
    97,714.28/134,834.37 = 54,696.18/x
  3. Step 3: Cross multiply
    97,714.28x = 134,834.37 × 54,696.18
  4. Step 4: Simplify right side
    97,714.28x = 7,374,925,101.69
  5. Step 5: Solve for x
    x = 7,374,925,101.69/97,714.28
  6. Step 6: Final answer
    x = 75,474.38

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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.