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Finding the Fourth Proportional to 52,054, 78,083.16 and 15,118

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Solution

The fourth proportional to 52,054, 78,083.16 and 15,118 is: 22,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,054 : 78,083.16 = 15,118 : x
  2. Step 2: Convert to fraction form
    52,054/78,083.16 = 15,118/x
  3. Step 3: Cross multiply
    52,054x = 78,083.16 × 15,118
  4. Step 4: Simplify right side
    52,054x = 1,180,461,212.88
  5. Step 5: Solve for x
    x = 1,180,461,212.88/52,054
  6. Step 6: Final answer
    x = 22,677.63

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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.