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Finding the Fourth Proportional to 109,965.22, 164,964.03 and 39,828.13

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Solution

The fourth proportional to 109,965.22, 164,964.03 and 39,828.13 is: 59,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,965.22 : 164,964.03 = 39,828.13 : x
  2. Step 2: Convert to fraction form
    109,965.22/164,964.03 = 39,828.13/x
  3. Step 3: Cross multiply
    109,965.22x = 164,964.03 × 39,828.13
  4. Step 4: Simplify right side
    109,965.22x = 6,570,208,832.16
  5. Step 5: Solve for x
    x = 6,570,208,832.16/109,965.22
  6. Step 6: Final answer
    x = 59,748.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.