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Finding the Fourth Proportional to 70,509.20, 105,763.27 and 23,157.16

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Solution

The fourth proportional to 70,509.20, 105,763.27 and 23,157.16 is: 34,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,509.20 : 105,763.27 = 23,157.16 : x
  2. Step 2: Convert to fraction form
    70,509.20/105,763.27 = 23,157.16/x
  3. Step 3: Cross multiply
    70,509.20x = 105,763.27 × 23,157.16
  4. Step 4: Simplify right side
    70,509.20x = 2,449,176,686.63
  5. Step 5: Solve for x
    x = 2,449,176,686.63/70,509.20
  6. Step 6: Final answer
    x = 34,735.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.