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Finding the Fourth Proportional to 34,152.46, 51,213.36 and 13,077.76

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Solution

The fourth proportional to 34,152.46, 51,213.36 and 13,077.76 is: 19,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,152.46 : 51,213.36 = 13,077.76 : x
  2. Step 2: Convert to fraction form
    34,152.46/51,213.36 = 13,077.76/x
  3. Step 3: Cross multiply
    34,152.46x = 51,213.36 × 13,077.76
  4. Step 4: Simplify right side
    34,152.46x = 669,756,030.87
  5. Step 5: Solve for x
    x = 669,756,030.87/34,152.46
  6. Step 6: Final answer
    x = 19,610.77

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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.