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Finding the Fourth Proportional to 37,881.29, 56,822.07 and 11,585.93

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Solution

The fourth proportional to 37,881.29, 56,822.07 and 11,585.93 is: 17,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,881.29 : 56,822.07 = 11,585.93 : x
  2. Step 2: Convert to fraction form
    37,881.29/56,822.07 = 11,585.93/x
  3. Step 3: Cross multiply
    37,881.29x = 56,822.07 × 11,585.93
  4. Step 4: Simplify right side
    37,881.29x = 658,336,241.36
  5. Step 5: Solve for x
    x = 658,336,241.36/37,881.29
  6. Step 6: Final answer
    x = 17,378.93

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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.