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Finding the Fourth Proportional to 52,708.12, 72,754.16 and 34,819

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Solution

The fourth proportional to 52,708.12, 72,754.16 and 34,819 is: 48,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,708.12 : 72,754.16 = 34,819 : x
  2. Step 2: Convert to fraction form
    52,708.12/72,754.16 = 34,819/x
  3. Step 3: Cross multiply
    52,708.12x = 72,754.16 × 34,819
  4. Step 4: Simplify right side
    52,708.12x = 2,533,227,097.04
  5. Step 5: Solve for x
    x = 2,533,227,097.04/52,708.12
  6. Step 6: Final answer
    x = 48,061.42

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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.