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Finding the Fourth Proportional to 65,020.50, 89,728.29 and 35,212.50

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Solution

The fourth proportional to 65,020.50, 89,728.29 and 35,212.50 is: 48,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,020.50 : 89,728.29 = 35,212.50 : x
  2. Step 2: Convert to fraction form
    65,020.50/89,728.29 = 35,212.50/x
  3. Step 3: Cross multiply
    65,020.50x = 89,728.29 × 35,212.50
  4. Step 4: Simplify right side
    65,020.50x = 3,159,557,411.63
  5. Step 5: Solve for x
    x = 3,159,557,411.63/65,020.50
  6. Step 6: Final answer
    x = 48,593.25

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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.