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Finding the Fourth Proportional to 34,038.41, 51,046.16 and 14,313.29

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Solution

The fourth proportional to 34,038.41, 51,046.16 and 14,313.29 is: 21,465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,038.41 : 51,046.16 = 14,313.29 : x
  2. Step 2: Convert to fraction form
    34,038.41/51,046.16 = 14,313.29/x
  3. Step 3: Cross multiply
    34,038.41x = 51,046.16 × 14,313.29
  4. Step 4: Simplify right side
    34,038.41x = 730,638,419.90
  5. Step 5: Solve for x
    x = 730,638,419.90/34,038.41
  6. Step 6: Final answer
    x = 21,465.12

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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.