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Finding the Fourth Proportional to 61,141.44, 84,374.16 and 34,284.96

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Solution

The fourth proportional to 61,141.44, 84,374.16 and 34,284.96 is: 47,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,141.44 : 84,374.16 = 34,284.96 : x
  2. Step 2: Convert to fraction form
    61,141.44/84,374.16 = 34,284.96/x
  3. Step 3: Cross multiply
    61,141.44x = 84,374.16 × 34,284.96
  4. Step 4: Simplify right side
    61,141.44x = 2,892,764,700.63
  5. Step 5: Solve for x
    x = 2,892,764,700.63/61,141.44
  6. Step 6: Final answer
    x = 47,312.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.