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Finding the Fourth Proportional to 31,768.47, 47,646.09 and 13,030.20

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Solution

The fourth proportional to 31,768.47, 47,646.09 and 13,030.20 is: 19,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,768.47 : 47,646.09 = 13,030.20 : x
  2. Step 2: Convert to fraction form
    31,768.47/47,646.09 = 13,030.20/x
  3. Step 3: Cross multiply
    31,768.47x = 47,646.09 × 13,030.20
  4. Step 4: Simplify right side
    31,768.47x = 620,838,081.92
  5. Step 5: Solve for x
    x = 620,838,081.92/31,768.47
  6. Step 6: Final answer
    x = 19,542.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.