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Finding the Fourth Proportional to 70,990.32, 97,971.48 and 41,182.32

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Solution

The fourth proportional to 70,990.32, 97,971.48 and 41,182.32 is: 56,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,990.32 : 97,971.48 = 41,182.32 : x
  2. Step 2: Convert to fraction form
    70,990.32/97,971.48 = 41,182.32/x
  3. Step 3: Cross multiply
    70,990.32x = 97,971.48 × 41,182.32
  4. Step 4: Simplify right side
    70,990.32x = 4,034,692,840.23
  5. Step 5: Solve for x
    x = 4,034,692,840.23/70,990.32
  6. Step 6: Final answer
    x = 56,834.41

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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.