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Finding the Fourth Proportional to 31,055.40, 46,631.70 and 22,793.40

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Solution

The fourth proportional to 31,055.40, 46,631.70 and 22,793.40 is: 34,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055.40 : 46,631.70 = 22,793.40 : x
  2. Step 2: Convert to fraction form
    31,055.40/46,631.70 = 22,793.40/x
  3. Step 3: Cross multiply
    31,055.40x = 46,631.70 × 22,793.40
  4. Step 4: Simplify right side
    31,055.40x = 1,062,894,990.78
  5. Step 5: Solve for x
    x = 1,062,894,990.78/31,055.40
  6. Step 6: Final answer
    x = 34,225.77

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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.