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Finding the Fourth Proportional to 70,508.56, 97,318.74 and 47,885.26

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Solution

The fourth proportional to 70,508.56, 97,318.74 and 47,885.26 is: 66,093.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,508.56 : 97,318.74 = 47,885.26 : x
  2. Step 2: Convert to fraction form
    70,508.56/97,318.74 = 47,885.26/x
  3. Step 3: Cross multiply
    70,508.56x = 97,318.74 × 47,885.26
  4. Step 4: Simplify right side
    70,508.56x = 4,660,133,167.77
  5. Step 5: Solve for x
    x = 4,660,133,167.77/70,508.56
  6. Step 6: Final answer
    x = 66,093.15

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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.