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Finding the Fourth Proportional to 46,149.42, 69,227.52 and 16,567.52

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Solution

The fourth proportional to 46,149.42, 69,227.52 and 16,567.52 is: 24,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,149.42 : 69,227.52 = 16,567.52 : x
  2. Step 2: Convert to fraction form
    46,149.42/69,227.52 = 16,567.52/x
  3. Step 3: Cross multiply
    46,149.42x = 69,227.52 × 16,567.52
  4. Step 4: Simplify right side
    46,149.42x = 1,146,928,322.15
  5. Step 5: Solve for x
    x = 1,146,928,322.15/46,149.42
  6. Step 6: Final answer
    x = 24,852.50

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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.