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Finding the Fourth Proportional to 30,710.70, 46,061.46 and 8,521.74

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Solution

The fourth proportional to 30,710.70, 46,061.46 and 8,521.74 is: 12,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.70 : 46,061.46 = 8,521.74 : x
  2. Step 2: Convert to fraction form
    30,710.70/46,061.46 = 8,521.74/x
  3. Step 3: Cross multiply
    30,710.70x = 46,061.46 × 8,521.74
  4. Step 4: Simplify right side
    30,710.70x = 392,523,786.14
  5. Step 5: Solve for x
    x = 392,523,786.14/30,710.70
  6. Step 6: Final answer
    x = 12,781.34

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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.