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Finding the Fourth Proportional to 31,340.52, 47,009.16 and 7,967.16

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Solution

The fourth proportional to 31,340.52, 47,009.16 and 7,967.16 is: 11,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,340.52 : 47,009.16 = 7,967.16 : x
  2. Step 2: Convert to fraction form
    31,340.52/47,009.16 = 7,967.16/x
  3. Step 3: Cross multiply
    31,340.52x = 47,009.16 × 7,967.16
  4. Step 4: Simplify right side
    31,340.52x = 374,529,499.19
  5. Step 5: Solve for x
    x = 374,529,499.19/31,340.52
  6. Step 6: Final answer
    x = 11,950.33

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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.