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Finding the Fourth Proportional to 28,124, 42,186.41 and 7,347.50

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Solution

The fourth proportional to 28,124, 42,186.41 and 7,347.50 is: 11,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,124 : 42,186.41 = 7,347.50 : x
  2. Step 2: Convert to fraction form
    28,124/42,186.41 = 7,347.50/x
  3. Step 3: Cross multiply
    28,124x = 42,186.41 × 7,347.50
  4. Step 4: Simplify right side
    28,124x = 309,964,647.48
  5. Step 5: Solve for x
    x = 309,964,647.48/28,124
  6. Step 6: Final answer
    x = 11,021.36

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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.