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Finding the Fourth Proportional to 56,493.48, 84,762.54 and 21,442.44

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Solution

The fourth proportional to 56,493.48, 84,762.54 and 21,442.44 is: 32,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493.48 : 84,762.54 = 21,442.44 : x
  2. Step 2: Convert to fraction form
    56,493.48/84,762.54 = 21,442.44/x
  3. Step 3: Cross multiply
    56,493.48x = 84,762.54 × 21,442.44
  4. Step 4: Simplify right side
    56,493.48x = 1,817,515,678.20
  5. Step 5: Solve for x
    x = 1,817,515,678.20/56,493.48
  6. Step 6: Final answer
    x = 32,172.13

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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.