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Finding the Fourth Proportional to 52,644.10, 78,970.29 and 17,583.88

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Solution

The fourth proportional to 52,644.10, 78,970.29 and 17,583.88 is: 26,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,644.10 : 78,970.29 = 17,583.88 : x
  2. Step 2: Convert to fraction form
    52,644.10/78,970.29 = 17,583.88/x
  3. Step 3: Cross multiply
    52,644.10x = 78,970.29 × 17,583.88
  4. Step 4: Simplify right side
    52,644.10x = 1,388,604,102.93
  5. Step 5: Solve for x
    x = 1,388,604,102.93/52,644.10
  6. Step 6: Final answer
    x = 26,377.20

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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.