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Finding the Fourth Proportional to 34,483.98, 47,597 and 20,346.24

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Solution

The fourth proportional to 34,483.98, 47,597 and 20,346.24 is: 28,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,483.98 : 47,597 = 20,346.24 : x
  2. Step 2: Convert to fraction form
    34,483.98/47,597 = 20,346.24/x
  3. Step 3: Cross multiply
    34,483.98x = 47,597 × 20,346.24
  4. Step 4: Simplify right side
    34,483.98x = 968,419,985.28
  5. Step 5: Solve for x
    x = 968,419,985.28/34,483.98
  6. Step 6: Final answer
    x = 28,083.18

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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.