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Finding the Fourth Proportional to 46,653.64, 69,767.70 and 34,815.76

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Solution

The fourth proportional to 46,653.64, 69,767.70 and 34,815.76 is: 52,064.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,653.64 : 69,767.70 = 34,815.76 : x
  2. Step 2: Convert to fraction form
    46,653.64/69,767.70 = 34,815.76/x
  3. Step 3: Cross multiply
    46,653.64x = 69,767.70 × 34,815.76
  4. Step 4: Simplify right side
    46,653.64x = 2,429,015,498.95
  5. Step 5: Solve for x
    x = 2,429,015,498.95/46,653.64
  6. Step 6: Final answer
    x = 52,064.87

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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.