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Finding the Fourth Proportional to 34,813.86, 48,031.68 and 19,705.02

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Solution

The fourth proportional to 34,813.86, 48,031.68 and 19,705.02 is: 27,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,813.86 : 48,031.68 = 19,705.02 : x
  2. Step 2: Convert to fraction form
    34,813.86/48,031.68 = 19,705.02/x
  3. Step 3: Cross multiply
    34,813.86x = 48,031.68 × 19,705.02
  4. Step 4: Simplify right side
    34,813.86x = 946,465,215.03
  5. Step 5: Solve for x
    x = 946,465,215.03/34,813.86
  6. Step 6: Final answer
    x = 27,186.45

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