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Finding the Fourth Proportional to 70,563.20, 97,378.32 and 38,735

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Solution

The fourth proportional to 70,563.20, 97,378.32 and 38,735 is: 53,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,563.20 : 97,378.32 = 38,735 : x
  2. Step 2: Convert to fraction form
    70,563.20/97,378.32 = 38,735/x
  3. Step 3: Cross multiply
    70,563.20x = 97,378.32 × 38,735
  4. Step 4: Simplify right side
    70,563.20x = 3,771,949,225.20
  5. Step 5: Solve for x
    x = 3,771,949,225.20/70,563.20
  6. Step 6: Final answer
    x = 53,454.91

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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.