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Finding the Fourth Proportional to 114,575.40, 171,863.10 and 31,477.80

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Solution

The fourth proportional to 114,575.40, 171,863.10 and 31,477.80 is: 47,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,575.40 : 171,863.10 = 31,477.80 : x
  2. Step 2: Convert to fraction form
    114,575.40/171,863.10 = 31,477.80/x
  3. Step 3: Cross multiply
    114,575.40x = 171,863.10 × 31,477.80
  4. Step 4: Simplify right side
    114,575.40x = 5,409,872,289.18
  5. Step 5: Solve for x
    x = 5,409,872,289.18/114,575.40
  6. Step 6: Final answer
    x = 47,216.70

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1.5x scale

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.