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Finding the Fourth Proportional to 70,509.49, 105,805.64 and 26,167.05

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Solution

The fourth proportional to 70,509.49, 105,805.64 and 26,167.05 is: 39,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,509.49 : 105,805.64 = 26,167.05 : x
  2. Step 2: Convert to fraction form
    70,509.49/105,805.64 = 26,167.05/x
  3. Step 3: Cross multiply
    70,509.49x = 105,805.64 × 26,167.05
  4. Step 4: Simplify right side
    70,509.49x = 2,768,621,537.58
  5. Step 5: Solve for x
    x = 2,768,621,537.58/70,509.49
  6. Step 6: Final answer
    x = 39,265.94

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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.