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Finding the Fourth Proportional to 31,859.50, 47,795.03 and 13,129.12

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Solution

The fourth proportional to 31,859.50, 47,795.03 and 13,129.12 is: 19,696.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,859.50 : 47,795.03 = 13,129.12 : x
  2. Step 2: Convert to fraction form
    31,859.50/47,795.03 = 13,129.12/x
  3. Step 3: Cross multiply
    31,859.50x = 47,795.03 × 13,129.12
  4. Step 4: Simplify right side
    31,859.50x = 627,506,618.63
  5. Step 5: Solve for x
    x = 627,506,618.63/31,859.50
  6. Step 6: Final answer
    x = 19,696.06

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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.