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Finding the Fourth Proportional to 37,465.32, 51,709.38 and 24,053.52

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Solution

The fourth proportional to 37,465.32, 51,709.38 and 24,053.52 is: 33,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,465.32 : 51,709.38 = 24,053.52 : x
  2. Step 2: Convert to fraction form
    37,465.32/51,709.38 = 24,053.52/x
  3. Step 3: Cross multiply
    37,465.32x = 51,709.38 × 24,053.52
  4. Step 4: Simplify right side
    37,465.32x = 1,243,792,606.02
  5. Step 5: Solve for x
    x = 1,243,792,606.02/37,465.32
  6. Step 6: Final answer
    x = 33,198.50

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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.