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Finding the Fourth Proportional to 70,697.82, 97,563.25 and 38,868.74

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Solution

The fourth proportional to 70,697.82, 97,563.25 and 38,868.74 is: 53,639.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,697.82 : 97,563.25 = 38,868.74 : x
  2. Step 2: Convert to fraction form
    70,697.82/97,563.25 = 38,868.74/x
  3. Step 3: Cross multiply
    70,697.82x = 97,563.25 × 38,868.74
  4. Step 4: Simplify right side
    70,697.82x = 3,792,160,597.81
  5. Step 5: Solve for x
    x = 3,792,160,597.81/70,697.82
  6. Step 6: Final answer
    x = 53,639.00

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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.