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Finding the Fourth Proportional to 23,051.70, 31,803.03 and 15,098.46

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Solution

The fourth proportional to 23,051.70, 31,803.03 and 15,098.46 is: 20,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051.70 : 31,803.03 = 15,098.46 : x
  2. Step 2: Convert to fraction form
    23,051.70/31,803.03 = 15,098.46/x
  3. Step 3: Cross multiply
    23,051.70x = 31,803.03 × 15,098.46
  4. Step 4: Simplify right side
    23,051.70x = 480,176,776.33
  5. Step 5: Solve for x
    x = 480,176,776.33/23,051.70
  6. Step 6: Final answer
    x = 20,830.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.