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Finding the Fourth Proportional to 32,574.54, 48,838.32 and 22,018.44

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Solution

The fourth proportional to 32,574.54, 48,838.32 and 22,018.44 is: 33,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,574.54 : 48,838.32 = 22,018.44 : x
  2. Step 2: Convert to fraction form
    32,574.54/48,838.32 = 22,018.44/x
  3. Step 3: Cross multiply
    32,574.54x = 48,838.32 × 22,018.44
  4. Step 4: Simplify right side
    32,574.54x = 1,075,343,618.62
  5. Step 5: Solve for x
    x = 1,075,343,618.62/32,574.54
  6. Step 6: Final answer
    x = 33,011.78

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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.