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Finding the Fourth Proportional to 64,508.64, 96,712.74 and 30,757.17

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Solution

The fourth proportional to 64,508.64, 96,712.74 and 30,757.17 is: 46,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,508.64 : 96,712.74 = 30,757.17 : x
  2. Step 2: Convert to fraction form
    64,508.64/96,712.74 = 30,757.17/x
  3. Step 3: Cross multiply
    64,508.64x = 96,712.74 × 30,757.17
  4. Step 4: Simplify right side
    64,508.64x = 2,974,610,185.35
  5. Step 5: Solve for x
    x = 2,974,610,185.35/64,508.64
  6. Step 6: Final answer
    x = 46,111.81

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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.