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Finding the Fourth Proportional to 37,804.15, 56,689.81 and 11,502.74

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Solution

The fourth proportional to 37,804.15, 56,689.81 and 11,502.74 is: 17,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,804.15 : 56,689.81 = 11,502.74 : x
  2. Step 2: Convert to fraction form
    37,804.15/56,689.81 = 11,502.74/x
  3. Step 3: Cross multiply
    37,804.15x = 56,689.81 × 11,502.74
  4. Step 4: Simplify right side
    37,804.15x = 652,088,258.05
  5. Step 5: Solve for x
    x = 652,088,258.05/37,804.15
  6. Step 6: Final answer
    x = 17,249.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.