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Finding the Fourth Proportional to 57,733.20, 86,599.80 and 42,181.20

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Solution

The fourth proportional to 57,733.20, 86,599.80 and 42,181.20 is: 63,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,733.20 : 86,599.80 = 42,181.20 : x
  2. Step 2: Convert to fraction form
    57,733.20/86,599.80 = 42,181.20/x
  3. Step 3: Cross multiply
    57,733.20x = 86,599.80 × 42,181.20
  4. Step 4: Simplify right side
    57,733.20x = 3,652,883,483.76
  5. Step 5: Solve for x
    x = 3,652,883,483.76/57,733.20
  6. Step 6: Final answer
    x = 63,271.80

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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.