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Finding the Fourth Proportional to 70,211.93, 105,317.90 and 23,464.81

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Solution

The fourth proportional to 70,211.93, 105,317.90 and 23,464.81 is: 35,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,211.93 : 105,317.90 = 23,464.81 : x
  2. Step 2: Convert to fraction form
    70,211.93/105,317.90 = 23,464.81/x
  3. Step 3: Cross multiply
    70,211.93x = 105,317.90 × 23,464.81
  4. Step 4: Simplify right side
    70,211.93x = 2,471,263,957.01
  5. Step 5: Solve for x
    x = 2,471,263,957.01/70,211.93
  6. Step 6: Final answer
    x = 35,197.21

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Why These Related Problems?

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