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Finding the Fourth Proportional to 37,098.64, 55,317.07 and 32,977.36

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Solution

The fourth proportional to 37,098.64, 55,317.07 and 32,977.36 is: 49,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098.64 : 55,317.07 = 32,977.36 : x
  2. Step 2: Convert to fraction form
    37,098.64/55,317.07 = 32,977.36/x
  3. Step 3: Cross multiply
    37,098.64x = 55,317.07 × 32,977.36
  4. Step 4: Simplify right side
    37,098.64x = 1,824,210,931.54
  5. Step 5: Solve for x
    x = 1,824,210,931.54/37,098.64
  6. Step 6: Final answer
    x = 49,171.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.