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Finding the Fourth Proportional to 35,045.97, 52,537.68 and 12,854.16

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Solution

The fourth proportional to 35,045.97, 52,537.68 and 12,854.16 is: 19,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,045.97 : 52,537.68 = 12,854.16 : x
  2. Step 2: Convert to fraction form
    35,045.97/52,537.68 = 12,854.16/x
  3. Step 3: Cross multiply
    35,045.97x = 52,537.68 × 12,854.16
  4. Step 4: Simplify right side
    35,045.97x = 675,327,744.75
  5. Step 5: Solve for x
    x = 675,327,744.75/35,045.97
  6. Step 6: Final answer
    x = 19,269.77

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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.