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Finding the Fourth Proportional to 71,464.35, 98,626.86 and 39,643.50

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Solution

The fourth proportional to 71,464.35, 98,626.86 and 39,643.50 is: 54,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,464.35 : 98,626.86 = 39,643.50 : x
  2. Step 2: Convert to fraction form
    71,464.35/98,626.86 = 39,643.50/x
  3. Step 3: Cross multiply
    71,464.35x = 98,626.86 × 39,643.50
  4. Step 4: Simplify right side
    71,464.35x = 3,909,913,924.41
  5. Step 5: Solve for x
    x = 3,909,913,924.41/71,464.35
  6. Step 6: Final answer
    x = 54,711.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.