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Finding the Fourth Proportional to 70,832.76, 97,735.86 and 43,981.80

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Solution

The fourth proportional to 70,832.76, 97,735.86 and 43,981.80 is: 60,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,832.76 : 97,735.86 = 43,981.80 : x
  2. Step 2: Convert to fraction form
    70,832.76/97,735.86 = 43,981.80/x
  3. Step 3: Cross multiply
    70,832.76x = 97,735.86 × 43,981.80
  4. Step 4: Simplify right side
    70,832.76x = 4,298,599,047.35
  5. Step 5: Solve for x
    x = 4,298,599,047.35/70,832.76
  6. Step 6: Final answer
    x = 60,686.60

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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.