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Finding the Fourth Proportional to 62,064, 85,649.40 and 33,770.16

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Solution

The fourth proportional to 62,064, 85,649.40 and 33,770.16 is: 46,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,064 : 85,649.40 = 33,770.16 : x
  2. Step 2: Convert to fraction form
    62,064/85,649.40 = 33,770.16/x
  3. Step 3: Cross multiply
    62,064x = 85,649.40 × 33,770.16
  4. Step 4: Simplify right side
    62,064x = 2,892,393,941.90
  5. Step 5: Solve for x
    x = 2,892,393,941.90/62,064
  6. Step 6: Final answer
    x = 46,603.41

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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.