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Finding the Fourth Proportional to 35,065, 52,598.56 and 13,716.86

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Solution

The fourth proportional to 35,065, 52,598.56 and 13,716.86 is: 20,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,065 : 52,598.56 = 13,716.86 : x
  2. Step 2: Convert to fraction form
    35,065/52,598.56 = 13,716.86/x
  3. Step 3: Cross multiply
    35,065x = 52,598.56 × 13,716.86
  4. Step 4: Simplify right side
    35,065x = 721,487,083.72
  5. Step 5: Solve for x
    x = 721,487,083.72/35,065
  6. Step 6: Final answer
    x = 20,575.70

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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.