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Finding the Fourth Proportional to 97,296.64, 134,266.32 and 54,854.56

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Solution

The fourth proportional to 97,296.64, 134,266.32 and 54,854.56 is: 75,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,296.64 : 134,266.32 = 54,854.56 : x
  2. Step 2: Convert to fraction form
    97,296.64/134,266.32 = 54,854.56/x
  3. Step 3: Cross multiply
    97,296.64x = 134,266.32 × 54,854.56
  4. Step 4: Simplify right side
    97,296.64x = 7,365,119,906.42
  5. Step 5: Solve for x
    x = 7,365,119,906.42/97,296.64
  6. Step 6: Final answer
    x = 75,697.58

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1.5x scale

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.