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Finding the Fourth Proportional to 76,705, 115,058.94 and 21,302.44

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Solution

The fourth proportional to 76,705, 115,058.94 and 21,302.44 is: 31,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,705 : 115,058.94 = 21,302.44 : x
  2. Step 2: Convert to fraction form
    76,705/115,058.94 = 21,302.44/x
  3. Step 3: Cross multiply
    76,705x = 115,058.94 × 21,302.44
  4. Step 4: Simplify right side
    76,705x = 2,451,036,165.81
  5. Step 5: Solve for x
    x = 2,451,036,165.81/76,705
  6. Step 6: Final answer
    x = 31,954.06

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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.