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Finding the Fourth Proportional to 31,073.44, 46,610.48 and 7,699.84

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Solution

The fourth proportional to 31,073.44, 46,610.48 and 7,699.84 is: 11,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.44 : 46,610.48 = 7,699.84 : x
  2. Step 2: Convert to fraction form
    31,073.44/46,610.48 = 7,699.84/x
  3. Step 3: Cross multiply
    31,073.44x = 46,610.48 × 7,699.84
  4. Step 4: Simplify right side
    31,073.44x = 358,893,238.32
  5. Step 5: Solve for x
    x = 358,893,238.32/31,073.44
  6. Step 6: Final answer
    x = 11,549.84

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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.