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Finding the Fourth Proportional to 97,461.16, 134,496.38 and 52,749.16

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Solution

The fourth proportional to 97,461.16, 134,496.38 and 52,749.16 is: 72,793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,461.16 : 134,496.38 = 52,749.16 : x
  2. Step 2: Convert to fraction form
    97,461.16/134,496.38 = 52,749.16/x
  3. Step 3: Cross multiply
    97,461.16x = 134,496.38 × 52,749.16
  4. Step 4: Simplify right side
    97,461.16x = 7,094,570,863.67
  5. Step 5: Solve for x
    x = 7,094,570,863.67/97,461.16
  6. Step 6: Final answer
    x = 72,793.83

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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.