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Finding the Fourth Proportional to 32,880.52, 49,427.70 and 26,377.84

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Solution

The fourth proportional to 32,880.52, 49,427.70 and 26,377.84 is: 39,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,880.52 : 49,427.70 = 26,377.84 : x
  2. Step 2: Convert to fraction form
    32,880.52/49,427.70 = 26,377.84/x
  3. Step 3: Cross multiply
    32,880.52x = 49,427.70 × 26,377.84
  4. Step 4: Simplify right side
    32,880.52x = 1,303,795,962.17
  5. Step 5: Solve for x
    x = 1,303,795,962.17/32,880.52
  6. Step 6: Final answer
    x = 39,652.53

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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.