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Finding the Fourth Proportional to 51,652.72, 77,511.84 and 22,070.78

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Solution

The fourth proportional to 51,652.72, 77,511.84 and 22,070.78 is: 33,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,652.72 : 77,511.84 = 22,070.78 : x
  2. Step 2: Convert to fraction form
    51,652.72/77,511.84 = 22,070.78/x
  3. Step 3: Cross multiply
    51,652.72x = 77,511.84 × 22,070.78
  4. Step 4: Simplify right side
    51,652.72x = 1,710,746,768.04
  5. Step 5: Solve for x
    x = 1,710,746,768.04/51,652.72
  6. Step 6: Final answer
    x = 33,120.17

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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.