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Finding the Fourth Proportional to 97,497.92, 146,216.64 and 35,160.32

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Solution

The fourth proportional to 97,497.92, 146,216.64 and 35,160.32 is: 52,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,497.92 : 146,216.64 = 35,160.32 : x
  2. Step 2: Convert to fraction form
    97,497.92/146,216.64 = 35,160.32/x
  3. Step 3: Cross multiply
    97,497.92x = 146,216.64 × 35,160.32
  4. Step 4: Simplify right side
    97,497.92x = 5,141,023,851.72
  5. Step 5: Solve for x
    x = 5,141,023,851.72/97,497.92
  6. Step 6: Final answer
    x = 52,729.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.