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Finding the Fourth Proportional to 46,548.80, 69,823.20 and 36,051.20

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Solution

The fourth proportional to 46,548.80, 69,823.20 and 36,051.20 is: 54,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,548.80 : 69,823.20 = 36,051.20 : x
  2. Step 2: Convert to fraction form
    46,548.80/69,823.20 = 36,051.20/x
  3. Step 3: Cross multiply
    46,548.80x = 69,823.20 × 36,051.20
  4. Step 4: Simplify right side
    46,548.80x = 2,517,210,147.84
  5. Step 5: Solve for x
    x = 2,517,210,147.84/46,548.80
  6. Step 6: Final answer
    x = 54,076.80

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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.