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Finding the Fourth Proportional to 46,489.60, 64,172.10 and 27,626.50

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Solution

The fourth proportional to 46,489.60, 64,172.10 and 27,626.50 is: 38,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,489.60 : 64,172.10 = 27,626.50 : x
  2. Step 2: Convert to fraction form
    46,489.60/64,172.10 = 27,626.50/x
  3. Step 3: Cross multiply
    46,489.60x = 64,172.10 × 27,626.50
  4. Step 4: Simplify right side
    46,489.60x = 1,772,850,520.65
  5. Step 5: Solve for x
    x = 1,772,850,520.65/46,489.60
  6. Step 6: Final answer
    x = 38,134.35

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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.