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Finding the Fourth Proportional to 34,058.64, 51,064.32 and 14,321.16

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Solution

The fourth proportional to 34,058.64, 51,064.32 and 14,321.16 is: 21,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,058.64 : 51,064.32 = 14,321.16 : x
  2. Step 2: Convert to fraction form
    34,058.64/51,064.32 = 14,321.16/x
  3. Step 3: Cross multiply
    34,058.64x = 51,064.32 × 14,321.16
  4. Step 4: Simplify right side
    34,058.64x = 731,300,297.01
  5. Step 5: Solve for x
    x = 731,300,297.01/34,058.64
  6. Step 6: Final answer
    x = 21,471.80

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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.