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Finding the Fourth Proportional to 31,595.33, 47,392.98 and 9,409.01

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Solution

The fourth proportional to 31,595.33, 47,392.98 and 9,409.01 is: 14,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595.33 : 47,392.98 = 9,409.01 : x
  2. Step 2: Convert to fraction form
    31,595.33/47,392.98 = 9,409.01/x
  3. Step 3: Cross multiply
    31,595.33x = 47,392.98 × 9,409.01
  4. Step 4: Simplify right side
    31,595.33x = 445,921,022.75
  5. Step 5: Solve for x
    x = 445,921,022.75/31,595.33
  6. Step 6: Final answer
    x = 14,113.51

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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.