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Finding the Fourth Proportional to 32,810.20, 49,264.80 and 26,216.80

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Solution

The fourth proportional to 32,810.20, 49,264.80 and 26,216.80 is: 39,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810.20 : 49,264.80 = 26,216.80 : x
  2. Step 2: Convert to fraction form
    32,810.20/49,264.80 = 26,216.80/x
  3. Step 3: Cross multiply
    32,810.20x = 49,264.80 × 26,216.80
  4. Step 4: Simplify right side
    32,810.20x = 1,291,565,408.64
  5. Step 5: Solve for x
    x = 1,291,565,408.64/32,810.20
  6. Step 6: Final answer
    x = 39,364.75

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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.