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Finding the Fourth Proportional to 34,338.32, 47,378.76 and 19,434.32

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Solution

The fourth proportional to 34,338.32, 47,378.76 and 19,434.32 is: 26,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,338.32 : 47,378.76 = 19,434.32 : x
  2. Step 2: Convert to fraction form
    34,338.32/47,378.76 = 19,434.32/x
  3. Step 3: Cross multiply
    34,338.32x = 47,378.76 × 19,434.32
  4. Step 4: Simplify right side
    34,338.32x = 920,773,983.04
  5. Step 5: Solve for x
    x = 920,773,983.04/34,338.32
  6. Step 6: Final answer
    x = 26,814.77

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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.