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Finding the Fourth Proportional to 34,111.32, 47,077.70 and 19,964.13

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Solution

The fourth proportional to 34,111.32, 47,077.70 and 19,964.13 is: 27,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,111.32 : 47,077.70 = 19,964.13 : x
  2. Step 2: Convert to fraction form
    34,111.32/47,077.70 = 19,964.13/x
  3. Step 3: Cross multiply
    34,111.32x = 47,077.70 × 19,964.13
  4. Step 4: Simplify right side
    34,111.32x = 939,865,322.90
  5. Step 5: Solve for x
    x = 939,865,322.90/34,111.32
  6. Step 6: Final answer
    x = 27,552.89

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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.