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Finding the Fourth Proportional to 52,749, 72,802.26 and 30,405.96

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Solution

The fourth proportional to 52,749, 72,802.26 and 30,405.96 is: 41,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,749 : 72,802.26 = 30,405.96 : x
  2. Step 2: Convert to fraction form
    52,749/72,802.26 = 30,405.96/x
  3. Step 3: Cross multiply
    52,749x = 72,802.26 × 30,405.96
  4. Step 4: Simplify right side
    52,749x = 2,213,622,605.47
  5. Step 5: Solve for x
    x = 2,213,622,605.47/52,749
  6. Step 6: Final answer
    x = 41,965.21

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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.