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Finding the Fourth Proportional to 31,103.40, 46,655.10 and 19,423.20

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Solution

The fourth proportional to 31,103.40, 46,655.10 and 19,423.20 is: 29,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103.40 : 46,655.10 = 19,423.20 : x
  2. Step 2: Convert to fraction form
    31,103.40/46,655.10 = 19,423.20/x
  3. Step 3: Cross multiply
    31,103.40x = 46,655.10 × 19,423.20
  4. Step 4: Simplify right side
    31,103.40x = 906,191,338.32
  5. Step 5: Solve for x
    x = 906,191,338.32/31,103.40
  6. Step 6: Final answer
    x = 29,134.80

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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.