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Finding the Fourth Proportional to 52,510.57, 78,764.78 and 17,450.57

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Solution

The fourth proportional to 52,510.57, 78,764.78 and 17,450.57 is: 26,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,510.57 : 78,764.78 = 17,450.57 : x
  2. Step 2: Convert to fraction form
    52,510.57/78,764.78 = 17,450.57/x
  3. Step 3: Cross multiply
    52,510.57x = 78,764.78 × 17,450.57
  4. Step 4: Simplify right side
    52,510.57x = 1,374,490,219.67
  5. Step 5: Solve for x
    x = 1,374,490,219.67/52,510.57
  6. Step 6: Final answer
    x = 26,175.50

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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.