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Finding the Fourth Proportional to 52,642.89, 72,637.16 and 31,424.13

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Solution

The fourth proportional to 52,642.89, 72,637.16 and 31,424.13 is: 43,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,642.89 : 72,637.16 = 31,424.13 : x
  2. Step 2: Convert to fraction form
    52,642.89/72,637.16 = 31,424.13/x
  3. Step 3: Cross multiply
    52,642.89x = 72,637.16 × 31,424.13
  4. Step 4: Simplify right side
    52,642.89x = 2,282,559,401.55
  5. Step 5: Solve for x
    x = 2,282,559,401.55/52,642.89
  6. Step 6: Final answer
    x = 43,359.31

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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.