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Finding the Fourth Proportional to 31,485.52, 47,218.20 and 12,770.24

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Solution

The fourth proportional to 31,485.52, 47,218.20 and 12,770.24 is: 19,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,485.52 : 47,218.20 = 12,770.24 : x
  2. Step 2: Convert to fraction form
    31,485.52/47,218.20 = 12,770.24/x
  3. Step 3: Cross multiply
    31,485.52x = 47,218.20 × 12,770.24
  4. Step 4: Simplify right side
    31,485.52x = 602,987,746.37
  5. Step 5: Solve for x
    x = 602,987,746.37/31,485.52
  6. Step 6: Final answer
    x = 19,151.27

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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.