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Finding the Fourth Proportional to 37,143.32, 55,709 and 10,841.90

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Solution

The fourth proportional to 37,143.32, 55,709 and 10,841.90 is: 16,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,143.32 : 55,709 = 10,841.90 : x
  2. Step 2: Convert to fraction form
    37,143.32/55,709 = 10,841.90/x
  3. Step 3: Cross multiply
    37,143.32x = 55,709 × 10,841.90
  4. Step 4: Simplify right side
    37,143.32x = 603,991,407.10
  5. Step 5: Solve for x
    x = 603,991,407.10/37,143.32
  6. Step 6: Final answer
    x = 16,261.10

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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.