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Finding the Fourth Proportional to 31,010.58, 46,511.55 and 13,478.13

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Solution

The fourth proportional to 31,010.58, 46,511.55 and 13,478.13 is: 20,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,010.58 : 46,511.55 = 13,478.13 : x
  2. Step 2: Convert to fraction form
    31,010.58/46,511.55 = 13,478.13/x
  3. Step 3: Cross multiply
    31,010.58x = 46,511.55 × 13,478.13
  4. Step 4: Simplify right side
    31,010.58x = 626,888,717.40
  5. Step 5: Solve for x
    x = 626,888,717.40/31,010.58
  6. Step 6: Final answer
    x = 20,215.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.