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Finding the Fourth Proportional to 51,688.92, 77,484.12 and 16,603.94

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Solution

The fourth proportional to 51,688.92, 77,484.12 and 16,603.94 is: 24,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,688.92 : 77,484.12 = 16,603.94 : x
  2. Step 2: Convert to fraction form
    51,688.92/77,484.12 = 16,603.94/x
  3. Step 3: Cross multiply
    51,688.92x = 77,484.12 × 16,603.94
  4. Step 4: Simplify right side
    51,688.92x = 1,286,541,679.43
  5. Step 5: Solve for x
    x = 1,286,541,679.43/51,688.92
  6. Step 6: Final answer
    x = 24,890.09

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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.