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Finding the Fourth Proportional to 31,193.96, 46,801.98 and 19,493.48

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Solution

The fourth proportional to 31,193.96, 46,801.98 and 19,493.48 is: 29,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,193.96 : 46,801.98 = 19,493.48 : x
  2. Step 2: Convert to fraction form
    31,193.96/46,801.98 = 19,493.48/x
  3. Step 3: Cross multiply
    31,193.96x = 46,801.98 × 19,493.48
  4. Step 4: Simplify right side
    31,193.96x = 912,333,461.09
  5. Step 5: Solve for x
    x = 912,333,461.09/31,193.96
  6. Step 6: Final answer
    x = 29,247.12

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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.