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Finding the Fourth Proportional to 52,642.24, 78,964 and 17,582

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Solution

The fourth proportional to 52,642.24, 78,964 and 17,582 is: 26,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,642.24 : 78,964 = 17,582 : x
  2. Step 2: Convert to fraction form
    52,642.24/78,964 = 17,582/x
  3. Step 3: Cross multiply
    52,642.24x = 78,964 × 17,582
  4. Step 4: Simplify right side
    52,642.24x = 1,388,345,048
  5. Step 5: Solve for x
    x = 1,388,345,048/52,642.24
  6. Step 6: Final answer
    x = 26,373.21

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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.