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Finding the Fourth Proportional to 31,195.56, 46,788.15 and 9,002.99

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Solution

The fourth proportional to 31,195.56, 46,788.15 and 9,002.99 is: 13,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195.56 : 46,788.15 = 9,002.99 : x
  2. Step 2: Convert to fraction form
    31,195.56/46,788.15 = 9,002.99/x
  3. Step 3: Cross multiply
    31,195.56x = 46,788.15 × 9,002.99
  4. Step 4: Simplify right side
    31,195.56x = 421,233,012.63
  5. Step 5: Solve for x
    x = 421,233,012.63/31,195.56
  6. Step 6: Final answer
    x = 13,502.98

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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.