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Finding the Fourth Proportional to 70,596, 105,871.55 and 23,200.16

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Solution

The fourth proportional to 70,596, 105,871.55 and 23,200.16 is: 34,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,596 : 105,871.55 = 23,200.16 : x
  2. Step 2: Convert to fraction form
    70,596/105,871.55 = 23,200.16/x
  3. Step 3: Cross multiply
    70,596x = 105,871.55 × 23,200.16
  4. Step 4: Simplify right side
    70,596x = 2,456,236,254.09
  5. Step 5: Solve for x
    x = 2,456,236,254.09/70,596
  6. Step 6: Final answer
    x = 34,792.85

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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.