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Finding the Fourth Proportional to 53,468.46, 80,175.06 and 23,470.42

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Solution

The fourth proportional to 53,468.46, 80,175.06 and 23,470.42 is: 35,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,468.46 : 80,175.06 = 23,470.42 : x
  2. Step 2: Convert to fraction form
    53,468.46/80,175.06 = 23,470.42/x
  3. Step 3: Cross multiply
    53,468.46x = 80,175.06 × 23,470.42
  4. Step 4: Simplify right side
    53,468.46x = 1,881,742,331.73
  5. Step 5: Solve for x
    x = 1,881,742,331.73/53,468.46
  6. Step 6: Final answer
    x = 35,193.50

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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.