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Finding the Fourth Proportional to 46,509.36, 69,706.62 and 21,514.98

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Solution

The fourth proportional to 46,509.36, 69,706.62 and 21,514.98 is: 32,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,509.36 : 69,706.62 = 21,514.98 : x
  2. Step 2: Convert to fraction form
    46,509.36/69,706.62 = 21,514.98/x
  3. Step 3: Cross multiply
    46,509.36x = 69,706.62 × 21,514.98
  4. Step 4: Simplify right side
    46,509.36x = 1,499,736,535.17
  5. Step 5: Solve for x
    x = 1,499,736,535.17/46,509.36
  6. Step 6: Final answer
    x = 32,245.91

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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.