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Finding the Fourth Proportional to 34,341.64, 47,389.05 and 19,234.14

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Solution

The fourth proportional to 34,341.64, 47,389.05 and 19,234.14 is: 26,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,341.64 : 47,389.05 = 19,234.14 : x
  2. Step 2: Convert to fraction form
    34,341.64/47,389.05 = 19,234.14/x
  3. Step 3: Cross multiply
    34,341.64x = 47,389.05 × 19,234.14
  4. Step 4: Simplify right side
    34,341.64x = 911,487,622.17
  5. Step 5: Solve for x
    x = 911,487,622.17/34,341.64
  6. Step 6: Final answer
    x = 26,541.76

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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.