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Finding the Fourth Proportional to 46,699.64, 69,836.70 and 34,861.76

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Solution

The fourth proportional to 46,699.64, 69,836.70 and 34,861.76 is: 52,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,699.64 : 69,836.70 = 34,861.76 : x
  2. Step 2: Convert to fraction form
    46,699.64/69,836.70 = 34,861.76/x
  3. Step 3: Cross multiply
    46,699.64x = 69,836.70 × 34,861.76
  4. Step 4: Simplify right side
    46,699.64x = 2,434,630,274.59
  5. Step 5: Solve for x
    x = 2,434,630,274.59/46,699.64
  6. Step 6: Final answer
    x = 52,133.81

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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.