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Finding the Fourth Proportional to 37,300, 55,941.40 and 10,645.48

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Solution

The fourth proportional to 37,300, 55,941.40 and 10,645.48 is: 15,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,300 : 55,941.40 = 10,645.48 : x
  2. Step 2: Convert to fraction form
    37,300/55,941.40 = 10,645.48/x
  3. Step 3: Cross multiply
    37,300x = 55,941.40 × 10,645.48
  4. Step 4: Simplify right side
    37,300x = 595,523,054.87
  5. Step 5: Solve for x
    x = 595,523,054.87/37,300
  6. Step 6: Final answer
    x = 15,965.77

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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.