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Finding the Fourth Proportional to 76,225.76, 105,182.48 and 43,960

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Solution

The fourth proportional to 76,225.76, 105,182.48 and 43,960 is: 60,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,225.76 : 105,182.48 = 43,960 : x
  2. Step 2: Convert to fraction form
    76,225.76/105,182.48 = 43,960/x
  3. Step 3: Cross multiply
    76,225.76x = 105,182.48 × 43,960
  4. Step 4: Simplify right side
    76,225.76x = 4,623,821,820.80
  5. Step 5: Solve for x
    x = 4,623,821,820.80/76,225.76
  6. Step 6: Final answer
    x = 60,659.57

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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.