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Finding the Fourth Proportional to 46,149, 69,228.36 and 21,184.80

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Solution

The fourth proportional to 46,149, 69,228.36 and 21,184.80 is: 31,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,149 : 69,228.36 = 21,184.80 : x
  2. Step 2: Convert to fraction form
    46,149/69,228.36 = 21,184.80/x
  3. Step 3: Cross multiply
    46,149x = 69,228.36 × 21,184.80
  4. Step 4: Simplify right side
    46,149x = 1,466,588,960.93
  5. Step 5: Solve for x
    x = 1,466,588,960.93/46,149
  6. Step 6: Final answer
    x = 31,779.43

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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.