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Finding the Fourth Proportional to 46,644.16, 69,852.24 and 24,476.32

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Solution

The fourth proportional to 46,644.16, 69,852.24 and 24,476.32 is: 36,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,644.16 : 69,852.24 = 24,476.32 : x
  2. Step 2: Convert to fraction form
    46,644.16/69,852.24 = 24,476.32/x
  3. Step 3: Cross multiply
    46,644.16x = 69,852.24 × 24,476.32
  4. Step 4: Simplify right side
    46,644.16x = 1,709,725,778.96
  5. Step 5: Solve for x
    x = 1,709,725,778.96/46,644.16
  6. Step 6: Final answer
    x = 36,654.66

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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.