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Finding the Fourth Proportional to 70,652.96, 97,503.48 and 38,823

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Solution

The fourth proportional to 70,652.96, 97,503.48 and 38,823 is: 53,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,652.96 : 97,503.48 = 38,823 : x
  2. Step 2: Convert to fraction form
    70,652.96/97,503.48 = 38,823/x
  3. Step 3: Cross multiply
    70,652.96x = 97,503.48 × 38,823
  4. Step 4: Simplify right side
    70,652.96x = 3,785,377,604.04
  5. Step 5: Solve for x
    x = 3,785,377,604.04/70,652.96
  6. Step 6: Final answer
    x = 53,577.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.