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Finding the Fourth Proportional to 114,571.32, 171,653.64 and 47,864.64

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Solution

The fourth proportional to 114,571.32, 171,653.64 and 47,864.64 is: 71,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,571.32 : 171,653.64 = 47,864.64 : x
  2. Step 2: Convert to fraction form
    114,571.32/171,653.64 = 47,864.64/x
  3. Step 3: Cross multiply
    114,571.32x = 171,653.64 × 47,864.64
  4. Step 4: Simplify right side
    114,571.32x = 8,216,139,683.29
  5. Step 5: Solve for x
    x = 8,216,139,683.29/114,571.32
  6. Step 6: Final answer
    x = 71,712.01

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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.