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Finding the Fourth Proportional to 70,832.50, 106,256.54 and 23,430.32

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Solution

The fourth proportional to 70,832.50, 106,256.54 and 23,430.32 is: 35,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,832.50 : 106,256.54 = 23,430.32 : x
  2. Step 2: Convert to fraction form
    70,832.50/106,256.54 = 23,430.32/x
  3. Step 3: Cross multiply
    70,832.50x = 106,256.54 × 23,430.32
  4. Step 4: Simplify right side
    70,832.50x = 2,489,624,734.29
  5. Step 5: Solve for x
    x = 2,489,624,734.29/70,832.50
  6. Step 6: Final answer
    x = 35,148.06

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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.