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Finding the Fourth Proportional to 70,052.16, 105,078.24 and 23,304.96

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Solution

The fourth proportional to 70,052.16, 105,078.24 and 23,304.96 is: 34,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,052.16 : 105,078.24 = 23,304.96 : x
  2. Step 2: Convert to fraction form
    70,052.16/105,078.24 = 23,304.96/x
  3. Step 3: Cross multiply
    70,052.16x = 105,078.24 × 23,304.96
  4. Step 4: Simplify right side
    70,052.16x = 2,448,844,180.07
  5. Step 5: Solve for x
    x = 2,448,844,180.07/70,052.16
  6. Step 6: Final answer
    x = 34,957.44

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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.