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Finding the Fourth Proportional to 117,924.56, 176,831.16 and 42,991.76

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Solution

The fourth proportional to 117,924.56, 176,831.16 and 42,991.76 is: 64,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,924.56 : 176,831.16 = 42,991.76 : x
  2. Step 2: Convert to fraction form
    117,924.56/176,831.16 = 42,991.76/x
  3. Step 3: Cross multiply
    117,924.56x = 176,831.16 × 42,991.76
  4. Step 4: Simplify right side
    117,924.56x = 7,602,282,791.24
  5. Step 5: Solve for x
    x = 7,602,282,791.24/117,924.56
  6. Step 6: Final answer
    x = 64,467.34

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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.