Home / 31,782.34-47,654.97-9,589.06

Finding the Fourth Proportional to 31,782.34, 47,654.97 and 9,589.06

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Solution

The fourth proportional to 31,782.34, 47,654.97 and 9,589.06 is: 14,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.34 : 47,654.97 = 9,589.06 : x
  2. Step 2: Convert to fraction form
    31,782.34/47,654.97 = 9,589.06/x
  3. Step 3: Cross multiply
    31,782.34x = 47,654.97 × 9,589.06
  4. Step 4: Simplify right side
    31,782.34x = 456,966,366.63
  5. Step 5: Solve for x
    x = 456,966,366.63/31,782.34
  6. Step 6: Final answer
    x = 14,378.00

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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.