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Finding the Fourth Proportional to 70,154.10, 105,231.56 and 17,563.64

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Solution

The fourth proportional to 70,154.10, 105,231.56 and 17,563.64 is: 26,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,154.10 : 105,231.56 = 17,563.64 : x
  2. Step 2: Convert to fraction form
    70,154.10/105,231.56 = 17,563.64/x
  3. Step 3: Cross multiply
    70,154.10x = 105,231.56 × 17,563.64
  4. Step 4: Simplify right side
    70,154.10x = 1,848,248,622.50
  5. Step 5: Solve for x
    x = 1,848,248,622.50/70,154.10
  6. Step 6: Final answer
    x = 26,345.55

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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.