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Finding the Fourth Proportional to 114,480.66, 171,719.10 and 31,374.66

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Solution

The fourth proportional to 114,480.66, 171,719.10 and 31,374.66 is: 47,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,480.66 : 171,719.10 = 31,374.66 : x
  2. Step 2: Convert to fraction form
    114,480.66/171,719.10 = 31,374.66/x
  3. Step 3: Cross multiply
    114,480.66x = 171,719.10 × 31,374.66
  4. Step 4: Simplify right side
    114,480.66x = 5,387,628,378.01
  5. Step 5: Solve for x
    x = 5,387,628,378.01/114,480.66
  6. Step 6: Final answer
    x = 47,061.47

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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.