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Finding the Fourth Proportional to 35,162.50, 52,743.75 and 10,538.50

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Solution

The fourth proportional to 35,162.50, 52,743.75 and 10,538.50 is: 15,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,162.50 : 52,743.75 = 10,538.50 : x
  2. Step 2: Convert to fraction form
    35,162.50/52,743.75 = 10,538.50/x
  3. Step 3: Cross multiply
    35,162.50x = 52,743.75 × 10,538.50
  4. Step 4: Simplify right side
    35,162.50x = 555,840,009.38
  5. Step 5: Solve for x
    x = 555,840,009.38/35,162.50
  6. Step 6: Final answer
    x = 15,807.75

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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.