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Finding the Fourth Proportional to 32,681, 49,021.50 and 8,057

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Solution

The fourth proportional to 32,681, 49,021.50 and 8,057 is: 12,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,681 : 49,021.50 = 8,057 : x
  2. Step 2: Convert to fraction form
    32,681/49,021.50 = 8,057/x
  3. Step 3: Cross multiply
    32,681x = 49,021.50 × 8,057
  4. Step 4: Simplify right side
    32,681x = 394,966,225.50
  5. Step 5: Solve for x
    x = 394,966,225.50/32,681
  6. Step 6: Final answer
    x = 12,085.50

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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.