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Finding the Fourth Proportional to 31,046.55, 46,543.70 and 13,503.17

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Solution

The fourth proportional to 31,046.55, 46,543.70 and 13,503.17 is: 20,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.55 : 46,543.70 = 13,503.17 : x
  2. Step 2: Convert to fraction form
    31,046.55/46,543.70 = 13,503.17/x
  3. Step 3: Cross multiply
    31,046.55x = 46,543.70 × 13,503.17
  4. Step 4: Simplify right side
    31,046.55x = 628,487,193.29
  5. Step 5: Solve for x
    x = 628,487,193.29/31,046.55
  6. Step 6: Final answer
    x = 20,243.38

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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.