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Finding the Fourth Proportional to 31,485.32, 47,228.08 and 12,765.68

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Solution

The fourth proportional to 31,485.32, 47,228.08 and 12,765.68 is: 19,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,485.32 : 47,228.08 = 12,765.68 : x
  2. Step 2: Convert to fraction form
    31,485.32/47,228.08 = 12,765.68/x
  3. Step 3: Cross multiply
    31,485.32x = 47,228.08 × 12,765.68
  4. Step 4: Simplify right side
    31,485.32x = 602,898,556.29
  5. Step 5: Solve for x
    x = 602,898,556.29/31,485.32
  6. Step 6: Final answer
    x = 19,148.56

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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.