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Finding the Fourth Proportional to 117,381.54, 176,053.51 and 37,409.11

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Solution

The fourth proportional to 117,381.54, 176,053.51 and 37,409.11 is: 56,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,381.54 : 176,053.51 = 37,409.11 : x
  2. Step 2: Convert to fraction form
    117,381.54/176,053.51 = 37,409.11/x
  3. Step 3: Cross multiply
    117,381.54x = 176,053.51 × 37,409.11
  4. Step 4: Simplify right side
    117,381.54x = 6,586,005,121.48
  5. Step 5: Solve for x
    x = 6,586,005,121.48/117,381.54
  6. Step 6: Final answer
    x = 56,107.67

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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.