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Finding the Fourth Proportional to 37,907.14, 56,871 and 11,611.30

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Solution

The fourth proportional to 37,907.14, 56,871 and 11,611.30 is: 17,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,907.14 : 56,871 = 11,611.30 : x
  2. Step 2: Convert to fraction form
    37,907.14/56,871 = 11,611.30/x
  3. Step 3: Cross multiply
    37,907.14x = 56,871 × 11,611.30
  4. Step 4: Simplify right side
    37,907.14x = 660,346,242.30
  5. Step 5: Solve for x
    x = 660,346,242.30/37,907.14
  6. Step 6: Final answer
    x = 17,420.10

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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.