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Finding the Fourth Proportional to 30,548.94, 45,808.92 and 11,837.70

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Solution

The fourth proportional to 30,548.94, 45,808.92 and 11,837.70 is: 17,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,548.94 : 45,808.92 = 11,837.70 : x
  2. Step 2: Convert to fraction form
    30,548.94/45,808.92 = 11,837.70/x
  3. Step 3: Cross multiply
    30,548.94x = 45,808.92 × 11,837.70
  4. Step 4: Simplify right side
    30,548.94x = 542,272,252.28
  5. Step 5: Solve for x
    x = 542,272,252.28/30,548.94
  6. Step 6: Final answer
    x = 17,750.94

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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.