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Finding the Fourth Proportional to 94,862.96, 142,335.72 and 44,978

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Solution

The fourth proportional to 94,862.96, 142,335.72 and 44,978 is: 67,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,862.96 : 142,335.72 = 44,978 : x
  2. Step 2: Convert to fraction form
    94,862.96/142,335.72 = 44,978/x
  3. Step 3: Cross multiply
    94,862.96x = 142,335.72 × 44,978
  4. Step 4: Simplify right side
    94,862.96x = 6,401,976,014.16
  5. Step 5: Solve for x
    x = 6,401,976,014.16/94,862.96
  6. Step 6: Final answer
    x = 67,486.57

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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.