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Finding the Fourth Proportional to 60,515.84, 83,464.62 and 41,407

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Solution

The fourth proportional to 60,515.84, 83,464.62 and 41,407 is: 57,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,515.84 : 83,464.62 = 41,407 : x
  2. Step 2: Convert to fraction form
    60,515.84/83,464.62 = 41,407/x
  3. Step 3: Cross multiply
    60,515.84x = 83,464.62 × 41,407
  4. Step 4: Simplify right side
    60,515.84x = 3,456,019,520.34
  5. Step 5: Solve for x
    x = 3,456,019,520.34/60,515.84
  6. Step 6: Final answer
    x = 57,109.34

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