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Finding the Fourth Proportional to 97,093.26, 133,962.48 and 56,817

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Solution

The fourth proportional to 97,093.26, 133,962.48 and 56,817 is: 78,392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,093.26 : 133,962.48 = 56,817 : x
  2. Step 2: Convert to fraction form
    97,093.26/133,962.48 = 56,817/x
  3. Step 3: Cross multiply
    97,093.26x = 133,962.48 × 56,817
  4. Step 4: Simplify right side
    97,093.26x = 7,611,346,226.16
  5. Step 5: Solve for x
    x = 7,611,346,226.16/97,093.26
  6. Step 6: Final answer
    x = 78,392.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.