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Finding the Fourth Proportional to 47,062.50, 64,943.01 and 25,837.38

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Solution

The fourth proportional to 47,062.50, 64,943.01 and 25,837.38 is: 35,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,062.50 : 64,943.01 = 25,837.38 : x
  2. Step 2: Convert to fraction form
    47,062.50/64,943.01 = 25,837.38/x
  3. Step 3: Cross multiply
    47,062.50x = 64,943.01 × 25,837.38
  4. Step 4: Simplify right side
    47,062.50x = 1,677,957,227.71
  5. Step 5: Solve for x
    x = 1,677,957,227.71/47,062.50
  6. Step 6: Final answer
    x = 35,653.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.