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Finding the Fourth Proportional to 31,775.94, 47,664.28 and 9,589.51

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Solution

The fourth proportional to 31,775.94, 47,664.28 and 9,589.51 is: 14,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.94 : 47,664.28 = 9,589.51 : x
  2. Step 2: Convert to fraction form
    31,775.94/47,664.28 = 9,589.51/x
  3. Step 3: Cross multiply
    31,775.94x = 47,664.28 × 9,589.51
  4. Step 4: Simplify right side
    31,775.94x = 457,077,089.70
  5. Step 5: Solve for x
    x = 457,077,089.70/31,775.94
  6. Step 6: Final answer
    x = 14,384.38

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1.5x scale

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.