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Finding the Fourth Proportional to 35,444.68, 53,167.23 and 9,149.65

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Solution

The fourth proportional to 35,444.68, 53,167.23 and 9,149.65 is: 13,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,444.68 : 53,167.23 = 9,149.65 : x
  2. Step 2: Convert to fraction form
    35,444.68/53,167.23 = 9,149.65/x
  3. Step 3: Cross multiply
    35,444.68x = 53,167.23 × 9,149.65
  4. Step 4: Simplify right side
    35,444.68x = 486,461,413.05
  5. Step 5: Solve for x
    x = 486,461,413.05/35,444.68
  6. Step 6: Final answer
    x = 13,724.53

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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.