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Finding the Fourth Proportional to 37,133.10, 55,699.65 and 12,177

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Solution

The fourth proportional to 37,133.10, 55,699.65 and 12,177 is: 18,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,133.10 : 55,699.65 = 12,177 : x
  2. Step 2: Convert to fraction form
    37,133.10/55,699.65 = 12,177/x
  3. Step 3: Cross multiply
    37,133.10x = 55,699.65 × 12,177
  4. Step 4: Simplify right side
    37,133.10x = 678,254,638.05
  5. Step 5: Solve for x
    x = 678,254,638.05/37,133.10
  6. Step 6: Final answer
    x = 18,265.50

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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.