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Finding the Fourth Proportional to 56,590, 84,924 and 19,654

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Solution

The fourth proportional to 56,590, 84,924 and 19,654 is: 29,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,590 : 84,924 = 19,654 : x
  2. Step 2: Convert to fraction form
    56,590/84,924 = 19,654/x
  3. Step 3: Cross multiply
    56,590x = 84,924 × 19,654
  4. Step 4: Simplify right side
    56,590x = 1,669,096,296
  5. Step 5: Solve for x
    x = 1,669,096,296/56,590
  6. Step 6: Final answer
    x = 29,494.54

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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.