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Finding the Fourth Proportional to 31,085.98, 46,645.47 and 13,557.17

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Solution

The fourth proportional to 31,085.98, 46,645.47 and 13,557.17 is: 20,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,085.98 : 46,645.47 = 13,557.17 : x
  2. Step 2: Convert to fraction form
    31,085.98/46,645.47 = 13,557.17/x
  3. Step 3: Cross multiply
    31,085.98x = 46,645.47 × 13,557.17
  4. Step 4: Simplify right side
    31,085.98x = 632,380,683.13
  5. Step 5: Solve for x
    x = 632,380,683.13/31,085.98
  6. Step 6: Final answer
    x = 20,342.96

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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.