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Finding the Fourth Proportional to 31,712.40, 44,458.80 and 31,712.40

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Solution

The fourth proportional to 31,712.40, 44,458.80 and 31,712.40 is: 44,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.40 : 44,458.80 = 31,712.40 : x
  2. Step 2: Convert to fraction form
    31,712.40/44,458.80 = 31,712.40/x
  3. Step 3: Cross multiply
    31,712.40x = 44,458.80 × 31,712.40
  4. Step 4: Simplify right side
    31,712.40x = 1,409,895,249.12
  5. Step 5: Solve for x
    x = 1,409,895,249.12/31,712.40
  6. Step 6: Final answer
    x = 44,458.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.