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Finding the Fourth Proportional to 51,643.68, 77,465.52 and 16,607.94

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Solution

The fourth proportional to 51,643.68, 77,465.52 and 16,607.94 is: 24,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,643.68 : 77,465.52 = 16,607.94 : x
  2. Step 2: Convert to fraction form
    51,643.68/77,465.52 = 16,607.94/x
  3. Step 3: Cross multiply
    51,643.68x = 77,465.52 × 16,607.94
  4. Step 4: Simplify right side
    51,643.68x = 1,286,542,708.23
  5. Step 5: Solve for x
    x = 1,286,542,708.23/51,643.68
  6. Step 6: Final answer
    x = 24,911.91

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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.