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Finding the Fourth Proportional to 52,665.84, 79,284.87 and 47,241

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Solution

The fourth proportional to 52,665.84, 79,284.87 and 47,241 is: 71,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,665.84 : 79,284.87 = 47,241 : x
  2. Step 2: Convert to fraction form
    52,665.84/79,284.87 = 47,241/x
  3. Step 3: Cross multiply
    52,665.84x = 79,284.87 × 47,241
  4. Step 4: Simplify right side
    52,665.84x = 3,745,496,543.67
  5. Step 5: Solve for x
    x = 3,745,496,543.67/52,665.84
  6. Step 6: Final answer
    x = 71,118.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.