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Finding the Fourth Proportional to 58,297.60, 87,381.60 and 32,021.20

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Solution

The fourth proportional to 58,297.60, 87,381.60 and 32,021.20 is: 47,996.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,297.60 : 87,381.60 = 32,021.20 : x
  2. Step 2: Convert to fraction form
    58,297.60/87,381.60 = 32,021.20/x
  3. Step 3: Cross multiply
    58,297.60x = 87,381.60 × 32,021.20
  4. Step 4: Simplify right side
    58,297.60x = 2,798,063,689.92
  5. Step 5: Solve for x
    x = 2,798,063,689.92/58,297.60
  6. Step 6: Final answer
    x = 47,996.21

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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.