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Finding the Fourth Proportional to 64,168.16, 96,252.24 and 31,308

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Solution

The fourth proportional to 64,168.16, 96,252.24 and 31,308 is: 46,962

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,168.16 : 96,252.24 = 31,308 : x
  2. Step 2: Convert to fraction form
    64,168.16/96,252.24 = 31,308/x
  3. Step 3: Cross multiply
    64,168.16x = 96,252.24 × 31,308
  4. Step 4: Simplify right side
    64,168.16x = 3,013,465,129.92
  5. Step 5: Solve for x
    x = 3,013,465,129.92/64,168.16
  6. Step 6: Final answer
    x = 46,962

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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.