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Finding the Fourth Proportional to 70,102.56, 96,741.44 and 44,952

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Solution

The fourth proportional to 70,102.56, 96,741.44 and 44,952 is: 62,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102.56 : 96,741.44 = 44,952 : x
  2. Step 2: Convert to fraction form
    70,102.56/96,741.44 = 44,952/x
  3. Step 3: Cross multiply
    70,102.56x = 96,741.44 × 44,952
  4. Step 4: Simplify right side
    70,102.56x = 4,348,721,210.88
  5. Step 5: Solve for x
    x = 4,348,721,210.88/70,102.56
  6. Step 6: Final answer
    x = 62,033.70

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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.