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Finding the Fourth Proportional to 31,820.34, 47,710.90 and 10,758.40

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Solution

The fourth proportional to 31,820.34, 47,710.90 and 10,758.40 is: 16,130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.34 : 47,710.90 = 10,758.40 : x
  2. Step 2: Convert to fraction form
    31,820.34/47,710.90 = 10,758.40/x
  3. Step 3: Cross multiply
    31,820.34x = 47,710.90 × 10,758.40
  4. Step 4: Simplify right side
    31,820.34x = 513,292,946.56
  5. Step 5: Solve for x
    x = 513,292,946.56/31,820.34
  6. Step 6: Final answer
    x = 16,130.97

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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.