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Finding the Fourth Proportional to 42,830.44, 64,247.34 and 11,665.60

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Solution

The fourth proportional to 42,830.44, 64,247.34 and 11,665.60 is: 17,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,830.44 : 64,247.34 = 11,665.60 : x
  2. Step 2: Convert to fraction form
    42,830.44/64,247.34 = 11,665.60/x
  3. Step 3: Cross multiply
    42,830.44x = 64,247.34 × 11,665.60
  4. Step 4: Simplify right side
    42,830.44x = 749,483,769.50
  5. Step 5: Solve for x
    x = 749,483,769.50/42,830.44
  6. Step 6: Final answer
    x = 17,498.86

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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.