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Finding the Fourth Proportional to 58,285, 87,442.26 and 16,732

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Solution

The fourth proportional to 58,285, 87,442.26 and 16,732 is: 25,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,285 : 87,442.26 = 16,732 : x
  2. Step 2: Convert to fraction form
    58,285/87,442.26 = 16,732/x
  3. Step 3: Cross multiply
    58,285x = 87,442.26 × 16,732
  4. Step 4: Simplify right side
    58,285x = 1,463,083,894.32
  5. Step 5: Solve for x
    x = 1,463,083,894.32/58,285
  6. Step 6: Final answer
    x = 25,102.24

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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.