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Finding the Fourth Proportional to 97,687, 134,808.12 and 52,975

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Solution

The fourth proportional to 97,687, 134,808.12 and 52,975 is: 73,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,687 : 134,808.12 = 52,975 : x
  2. Step 2: Convert to fraction form
    97,687/134,808.12 = 52,975/x
  3. Step 3: Cross multiply
    97,687x = 134,808.12 × 52,975
  4. Step 4: Simplify right side
    97,687x = 7,141,460,157
  5. Step 5: Solve for x
    x = 7,141,460,157/97,687
  6. Step 6: Final answer
    x = 73,105.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.