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Finding the Fourth Proportional to 117,409.86, 176,120.37 and 37,456.32

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Solution

The fourth proportional to 117,409.86, 176,120.37 and 37,456.32 is: 56,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,409.86 : 176,120.37 = 37,456.32 : x
  2. Step 2: Convert to fraction form
    117,409.86/176,120.37 = 37,456.32/x
  3. Step 3: Cross multiply
    117,409.86x = 176,120.37 × 37,456.32
  4. Step 4: Simplify right side
    117,409.86x = 6,596,820,937.24
  5. Step 5: Solve for x
    x = 6,596,820,937.24/117,409.86
  6. Step 6: Final answer
    x = 56,186.26

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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.