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Finding the Fourth Proportional to 30,525, 45,995.51 and 25,099.88

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Solution

The fourth proportional to 30,525, 45,995.51 and 25,099.88 is: 37,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,525 : 45,995.51 = 25,099.88 : x
  2. Step 2: Convert to fraction form
    30,525/45,995.51 = 25,099.88/x
  3. Step 3: Cross multiply
    30,525x = 45,995.51 × 25,099.88
  4. Step 4: Simplify right side
    30,525x = 1,154,481,656.04
  5. Step 5: Solve for x
    x = 1,154,481,656.04/30,525
  6. Step 6: Final answer
    x = 37,820.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.