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Finding the Fourth Proportional to 34,349.14, 51,506 and 20,313.46

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Solution

The fourth proportional to 34,349.14, 51,506 and 20,313.46 is: 30,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,349.14 : 51,506 = 20,313.46 : x
  2. Step 2: Convert to fraction form
    34,349.14/51,506 = 20,313.46/x
  3. Step 3: Cross multiply
    34,349.14x = 51,506 × 20,313.46
  4. Step 4: Simplify right side
    34,349.14x = 1,046,265,070.76
  5. Step 5: Solve for x
    x = 1,046,265,070.76/34,349.14
  6. Step 6: Final answer
    x = 30,459.72

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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.