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Finding the Fourth Proportional to 64,625.88, 96,869.10 and 31,275.48

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Solution

The fourth proportional to 64,625.88, 96,869.10 and 31,275.48 is: 46,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,625.88 : 96,869.10 = 31,275.48 : x
  2. Step 2: Convert to fraction form
    64,625.88/96,869.10 = 31,275.48/x
  3. Step 3: Cross multiply
    64,625.88x = 96,869.10 × 31,275.48
  4. Step 4: Simplify right side
    64,625.88x = 3,029,627,599.67
  5. Step 5: Solve for x
    x = 3,029,627,599.67/64,625.88
  6. Step 6: Final answer
    x = 46,879.48

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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.