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Finding the Fourth Proportional to 51,808.10, 77,712.15 and 16,772.90

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Solution

The fourth proportional to 51,808.10, 77,712.15 and 16,772.90 is: 25,159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,808.10 : 77,712.15 = 16,772.90 : x
  2. Step 2: Convert to fraction form
    51,808.10/77,712.15 = 16,772.90/x
  3. Step 3: Cross multiply
    51,808.10x = 77,712.15 × 16,772.90
  4. Step 4: Simplify right side
    51,808.10x = 1,303,458,120.74
  5. Step 5: Solve for x
    x = 1,303,458,120.74/51,808.10
  6. Step 6: Final answer
    x = 25,159.35

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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.