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Finding the Fourth Proportional to 34,260.42, 51,376.14 and 12,068.40

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Solution

The fourth proportional to 34,260.42, 51,376.14 and 12,068.40 is: 18,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,260.42 : 51,376.14 = 12,068.40 : x
  2. Step 2: Convert to fraction form
    34,260.42/51,376.14 = 12,068.40/x
  3. Step 3: Cross multiply
    34,260.42x = 51,376.14 × 12,068.40
  4. Step 4: Simplify right side
    34,260.42x = 620,027,807.98
  5. Step 5: Solve for x
    x = 620,027,807.98/34,260.42
  6. Step 6: Final answer
    x = 18,097.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.