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Finding the Fourth Proportional to 64,585.71, 96,788.34 and 31,296.95

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Solution

The fourth proportional to 64,585.71, 96,788.34 and 31,296.95 is: 46,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,585.71 : 96,788.34 = 31,296.95 : x
  2. Step 2: Convert to fraction form
    64,585.71/96,788.34 = 31,296.95/x
  3. Step 3: Cross multiply
    64,585.71x = 96,788.34 × 31,296.95
  4. Step 4: Simplify right side
    64,585.71x = 3,029,179,353.62
  5. Step 5: Solve for x
    x = 3,029,179,353.62/64,585.71
  6. Step 6: Final answer
    x = 46,901.70

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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.