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Finding the Fourth Proportional to 37,555.32, 51,822.84 and 22,445

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Solution

The fourth proportional to 37,555.32, 51,822.84 and 22,445 is: 30,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,555.32 : 51,822.84 = 22,445 : x
  2. Step 2: Convert to fraction form
    37,555.32/51,822.84 = 22,445/x
  3. Step 3: Cross multiply
    37,555.32x = 51,822.84 × 22,445
  4. Step 4: Simplify right side
    37,555.32x = 1,163,163,643.80
  5. Step 5: Solve for x
    x = 1,163,163,643.80/37,555.32
  6. Step 6: Final answer
    x = 30,972.01

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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.