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Finding the Fourth Proportional to 34,848, 52,277.76 and 10,229.76

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Solution

The fourth proportional to 34,848, 52,277.76 and 10,229.76 is: 15,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,848 : 52,277.76 = 10,229.76 : x
  2. Step 2: Convert to fraction form
    34,848/52,277.76 = 10,229.76/x
  3. Step 3: Cross multiply
    34,848x = 52,277.76 × 10,229.76
  4. Step 4: Simplify right side
    34,848x = 534,788,938.14
  5. Step 5: Solve for x
    x = 534,788,938.14/34,848
  6. Step 6: Final answer
    x = 15,346.33

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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.