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Finding the Fourth Proportional to 47,703.21, 65,892.44 and 36,303.48

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Solution

The fourth proportional to 47,703.21, 65,892.44 and 36,303.48 is: 50,145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,703.21 : 65,892.44 = 36,303.48 : x
  2. Step 2: Convert to fraction form
    47,703.21/65,892.44 = 36,303.48/x
  3. Step 3: Cross multiply
    47,703.21x = 65,892.44 × 36,303.48
  4. Step 4: Simplify right side
    47,703.21x = 2,392,124,696.17
  5. Step 5: Solve for x
    x = 2,392,124,696.17/47,703.21
  6. Step 6: Final answer
    x = 50,145.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.