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Finding the Fourth Proportional to 37,683.52, 56,529.14 and 9,981.52

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Solution

The fourth proportional to 37,683.52, 56,529.14 and 9,981.52 is: 14,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,683.52 : 56,529.14 = 9,981.52 : x
  2. Step 2: Convert to fraction form
    37,683.52/56,529.14 = 9,981.52/x
  3. Step 3: Cross multiply
    37,683.52x = 56,529.14 × 9,981.52
  4. Step 4: Simplify right side
    37,683.52x = 564,246,741.49
  5. Step 5: Solve for x
    x = 564,246,741.49/37,683.52
  6. Step 6: Final answer
    x = 14,973.30

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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.