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Finding the Fourth Proportional to 46,456.65, 64,046.70 and 31,920.39

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Solution

The fourth proportional to 46,456.65, 64,046.70 and 31,920.39 is: 44,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,456.65 : 64,046.70 = 31,920.39 : x
  2. Step 2: Convert to fraction form
    46,456.65/64,046.70 = 31,920.39/x
  3. Step 3: Cross multiply
    46,456.65x = 64,046.70 × 31,920.39
  4. Step 4: Simplify right side
    46,456.65x = 2,044,395,642.21
  5. Step 5: Solve for x
    x = 2,044,395,642.21/46,456.65
  6. Step 6: Final answer
    x = 44,006.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.