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Finding the Fourth Proportional to 70,392.47, 105,577.70 and 23,007.20

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Solution

The fourth proportional to 70,392.47, 105,577.70 and 23,007.20 is: 34,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,392.47 : 105,577.70 = 23,007.20 : x
  2. Step 2: Convert to fraction form
    70,392.47/105,577.70 = 23,007.20/x
  3. Step 3: Cross multiply
    70,392.47x = 105,577.70 × 23,007.20
  4. Step 4: Simplify right side
    70,392.47x = 2,429,046,616.52
  5. Step 5: Solve for x
    x = 2,429,046,616.52/70,392.47
  6. Step 6: Final answer
    x = 34,507.20

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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.