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Finding the Fourth Proportional to 52,510.50, 78,802.24 and 21,345.78

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Solution

The fourth proportional to 52,510.50, 78,802.24 and 21,345.78 is: 32,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,510.50 : 78,802.24 = 21,345.78 : x
  2. Step 2: Convert to fraction form
    52,510.50/78,802.24 = 21,345.78/x
  3. Step 3: Cross multiply
    52,510.50x = 78,802.24 × 21,345.78
  4. Step 4: Simplify right side
    52,510.50x = 1,682,095,278.55
  5. Step 5: Solve for x
    x = 1,682,095,278.55/52,510.50
  6. Step 6: Final answer
    x = 32,033.50

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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.