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Finding the Fourth Proportional to 32,588, 48,882.56 and 10,401.44

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Solution

The fourth proportional to 32,588, 48,882.56 and 10,401.44 is: 15,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,588 : 48,882.56 = 10,401.44 : x
  2. Step 2: Convert to fraction form
    32,588/48,882.56 = 10,401.44/x
  3. Step 3: Cross multiply
    32,588x = 48,882.56 × 10,401.44
  4. Step 4: Simplify right side
    32,588x = 508,449,014.89
  5. Step 5: Solve for x
    x = 508,449,014.89/32,588
  6. Step 6: Final answer
    x = 15,602.34

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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.