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Finding the Fourth Proportional to 64,284.84, 96,489.45 and 31,028.31

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Solution

The fourth proportional to 64,284.84, 96,489.45 and 31,028.31 is: 46,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,284.84 : 96,489.45 = 31,028.31 : x
  2. Step 2: Convert to fraction form
    64,284.84/96,489.45 = 31,028.31/x
  3. Step 3: Cross multiply
    64,284.84x = 96,489.45 × 31,028.31
  4. Step 4: Simplify right side
    64,284.84x = 2,993,904,411.19
  5. Step 5: Solve for x
    x = 2,993,904,411.19/64,284.84
  6. Step 6: Final answer
    x = 46,572.48

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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.