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Finding the Fourth Proportional to 32,999.49, 49,523.84 and 13,278.22

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Solution

The fourth proportional to 32,999.49, 49,523.84 and 13,278.22 is: 19,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,999.49 : 49,523.84 = 13,278.22 : x
  2. Step 2: Convert to fraction form
    32,999.49/49,523.84 = 13,278.22/x
  3. Step 3: Cross multiply
    32,999.49x = 49,523.84 × 13,278.22
  4. Step 4: Simplify right side
    32,999.49x = 657,588,442.76
  5. Step 5: Solve for x
    x = 657,588,442.76/32,999.49
  6. Step 6: Final answer
    x = 19,927.23

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1.5x scale

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.