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Finding the Fourth Proportional to 70,141.90, 105,213.26 and 23,394.64

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Solution

The fourth proportional to 70,141.90, 105,213.26 and 23,394.64 is: 35,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,141.90 : 105,213.26 = 23,394.64 : x
  2. Step 2: Convert to fraction form
    70,141.90/105,213.26 = 23,394.64/x
  3. Step 3: Cross multiply
    70,141.90x = 105,213.26 × 23,394.64
  4. Step 4: Simplify right side
    70,141.90x = 2,461,426,340.93
  5. Step 5: Solve for x
    x = 2,461,426,340.93/70,141.90
  6. Step 6: Final answer
    x = 35,092.10

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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.