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Finding the Fourth Proportional to 51,870.92, 77,813.58 and 16,799.24

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Solution

The fourth proportional to 51,870.92, 77,813.58 and 16,799.24 is: 25,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,870.92 : 77,813.58 = 16,799.24 : x
  2. Step 2: Convert to fraction form
    51,870.92/77,813.58 = 16,799.24/x
  3. Step 3: Cross multiply
    51,870.92x = 77,813.58 × 16,799.24
  4. Step 4: Simplify right side
    51,870.92x = 1,307,209,005.68
  5. Step 5: Solve for x
    x = 1,307,209,005.68/51,870.92
  6. Step 6: Final answer
    x = 25,201.19

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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.