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Finding the Fourth Proportional to 30,017.68, 45,031.80 and 11,548.24

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Solution

The fourth proportional to 30,017.68, 45,031.80 and 11,548.24 is: 17,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,017.68 : 45,031.80 = 11,548.24 : x
  2. Step 2: Convert to fraction form
    30,017.68/45,031.80 = 11,548.24/x
  3. Step 3: Cross multiply
    30,017.68x = 45,031.80 × 11,548.24
  4. Step 4: Simplify right side
    30,017.68x = 520,038,034.03
  5. Step 5: Solve for x
    x = 520,038,034.03/30,017.68
  6. Step 6: Final answer
    x = 17,324.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.