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Finding the Fourth Proportional to 70,165.23, 105,235.16 and 20,233.05

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Solution

The fourth proportional to 70,165.23, 105,235.16 and 20,233.05 is: 30,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,165.23 : 105,235.16 = 20,233.05 : x
  2. Step 2: Convert to fraction form
    70,165.23/105,235.16 = 20,233.05/x
  3. Step 3: Cross multiply
    70,165.23x = 105,235.16 × 20,233.05
  4. Step 4: Simplify right side
    70,165.23x = 2,129,228,152.87
  5. Step 5: Solve for x
    x = 2,129,228,152.87/70,165.23
  6. Step 6: Final answer
    x = 30,345.92

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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.