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Finding the Fourth Proportional to 58,026, 80,079.12 and 32,883.60

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Solution

The fourth proportional to 58,026, 80,079.12 and 32,883.60 is: 45,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,026 : 80,079.12 = 32,883.60 : x
  2. Step 2: Convert to fraction form
    58,026/80,079.12 = 32,883.60/x
  3. Step 3: Cross multiply
    58,026x = 80,079.12 × 32,883.60
  4. Step 4: Simplify right side
    58,026x = 2,633,289,750.43
  5. Step 5: Solve for x
    x = 2,633,289,750.43/58,026
  6. Step 6: Final answer
    x = 45,381.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.