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Finding the Fourth Proportional to 58,466, 80,684.92 and 33,317.12

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Solution

The fourth proportional to 58,466, 80,684.92 and 33,317.12 is: 45,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,466 : 80,684.92 = 33,317.12 : x
  2. Step 2: Convert to fraction form
    58,466/80,684.92 = 33,317.12/x
  3. Step 3: Cross multiply
    58,466x = 80,684.92 × 33,317.12
  4. Step 4: Simplify right side
    58,466x = 2,688,189,161.83
  5. Step 5: Solve for x
    x = 2,688,189,161.83/58,466
  6. Step 6: Final answer
    x = 45,978.67

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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.