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Finding the Fourth Proportional to 31,005.68, 46,507.48 and 13,475.50

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Solution

The fourth proportional to 31,005.68, 46,507.48 and 13,475.50 is: 20,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.68 : 46,507.48 = 13,475.50 : x
  2. Step 2: Convert to fraction form
    31,005.68/46,507.48 = 13,475.50/x
  3. Step 3: Cross multiply
    31,005.68x = 46,507.48 × 13,475.50
  4. Step 4: Simplify right side
    31,005.68x = 626,711,546.74
  5. Step 5: Solve for x
    x = 626,711,546.74/31,005.68
  6. Step 6: Final answer
    x = 20,212.80

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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.