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Finding the Fourth Proportional to 31,674.51, 47,508.98 and 9,492.84

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Solution

The fourth proportional to 31,674.51, 47,508.98 and 9,492.84 is: 14,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,674.51 : 47,508.98 = 9,492.84 : x
  2. Step 2: Convert to fraction form
    31,674.51/47,508.98 = 9,492.84/x
  3. Step 3: Cross multiply
    31,674.51x = 47,508.98 × 9,492.84
  4. Step 4: Simplify right side
    31,674.51x = 450,995,098.24
  5. Step 5: Solve for x
    x = 450,995,098.24/31,674.51
  6. Step 6: Final answer
    x = 14,238.42

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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.