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Finding the Fourth Proportional to 31,485.91, 47,233.98 and 9,301.52

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Solution

The fourth proportional to 31,485.91, 47,233.98 and 9,301.52 is: 13,953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,485.91 : 47,233.98 = 9,301.52 : x
  2. Step 2: Convert to fraction form
    31,485.91/47,233.98 = 9,301.52/x
  3. Step 3: Cross multiply
    31,485.91x = 47,233.98 × 9,301.52
  4. Step 4: Simplify right side
    31,485.91x = 439,347,809.65
  5. Step 5: Solve for x
    x = 439,347,809.65/31,485.91
  6. Step 6: Final answer
    x = 13,953.79

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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.