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Finding the Fourth Proportional to 97,714.80, 134,835.06 and 54,696.68

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Solution

The fourth proportional to 97,714.80, 134,835.06 and 54,696.68 is: 75,475.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,714.80 : 134,835.06 = 54,696.68 : x
  2. Step 2: Convert to fraction form
    97,714.80/134,835.06 = 54,696.68/x
  3. Step 3: Cross multiply
    97,714.80x = 134,835.06 × 54,696.68
  4. Step 4: Simplify right side
    97,714.80x = 7,375,030,129.60
  5. Step 5: Solve for x
    x = 7,375,030,129.60/97,714.80
  6. Step 6: Final answer
    x = 75,475.06

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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.