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Finding the Fourth Proportional to 34,420.68, 47,497.74 and 19,311.30

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Solution

The fourth proportional to 34,420.68, 47,497.74 and 19,311.30 is: 26,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,420.68 : 47,497.74 = 19,311.30 : x
  2. Step 2: Convert to fraction form
    34,420.68/47,497.74 = 19,311.30/x
  3. Step 3: Cross multiply
    34,420.68x = 47,497.74 × 19,311.30
  4. Step 4: Simplify right side
    34,420.68x = 917,243,106.46
  5. Step 5: Solve for x
    x = 917,243,106.46/34,420.68
  6. Step 6: Final answer
    x = 26,648.02

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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.