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Finding the Fourth Proportional to 117,814.64, 176,738.37 and 37,855.01

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Solution

The fourth proportional to 117,814.64, 176,738.37 and 37,855.01 is: 56,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,814.64 : 176,738.37 = 37,855.01 : x
  2. Step 2: Convert to fraction form
    117,814.64/176,738.37 = 37,855.01/x
  3. Step 3: Cross multiply
    117,814.64x = 176,738.37 × 37,855.01
  4. Step 4: Simplify right side
    117,814.64x = 6,690,432,574.46
  5. Step 5: Solve for x
    x = 6,690,432,574.46/117,814.64
  6. Step 6: Final answer
    x = 56,787.79

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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.