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Finding the Fourth Proportional to 97,419.52, 134,441.08 and 53,811.96

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Solution

The fourth proportional to 97,419.52, 134,441.08 and 53,811.96 is: 74,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,419.52 : 134,441.08 = 53,811.96 : x
  2. Step 2: Convert to fraction form
    97,419.52/134,441.08 = 53,811.96/x
  3. Step 3: Cross multiply
    97,419.52x = 134,441.08 × 53,811.96
  4. Step 4: Simplify right side
    97,419.52x = 7,234,538,019.32
  5. Step 5: Solve for x
    x = 7,234,538,019.32/97,419.52
  6. Step 6: Final answer
    x = 74,261.69

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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.