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Finding the Fourth Proportional to 117,356.83, 176,059.76 and 38,464.86

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Solution

The fourth proportional to 117,356.83, 176,059.76 and 38,464.86 is: 57,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,356.83 : 176,059.76 = 38,464.86 : x
  2. Step 2: Convert to fraction form
    117,356.83/176,059.76 = 38,464.86/x
  3. Step 3: Cross multiply
    117,356.83x = 176,059.76 × 38,464.86
  4. Step 4: Simplify right side
    117,356.83x = 6,772,114,020.03
  5. Step 5: Solve for x
    x = 6,772,114,020.03/117,356.83
  6. Step 6: Final answer
    x = 57,705.33

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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.