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Finding the Fourth Proportional to 31,403.58, 47,106.99 and 8,030.22

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Solution

The fourth proportional to 31,403.58, 47,106.99 and 8,030.22 is: 12,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403.58 : 47,106.99 = 8,030.22 : x
  2. Step 2: Convert to fraction form
    31,403.58/47,106.99 = 8,030.22/x
  3. Step 3: Cross multiply
    31,403.58x = 47,106.99 × 8,030.22
  4. Step 4: Simplify right side
    31,403.58x = 378,279,493.24
  5. Step 5: Solve for x
    x = 378,279,493.24/31,403.58
  6. Step 6: Final answer
    x = 12,045.74

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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.