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Finding the Fourth Proportional to 45,835, 68,764.02 and 13,003

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Solution

The fourth proportional to 45,835, 68,764.02 and 13,003 is: 19,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,835 : 68,764.02 = 13,003 : x
  2. Step 2: Convert to fraction form
    45,835/68,764.02 = 13,003/x
  3. Step 3: Cross multiply
    45,835x = 68,764.02 × 13,003
  4. Step 4: Simplify right side
    45,835x = 894,138,552.06
  5. Step 5: Solve for x
    x = 894,138,552.06/45,835
  6. Step 6: Final answer
    x = 19,507.77

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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.