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Finding the Fourth Proportional to 52,509.42, 72,467.31 and 29,855.52

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Solution

The fourth proportional to 52,509.42, 72,467.31 and 29,855.52 is: 41,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509.42 : 72,467.31 = 29,855.52 : x
  2. Step 2: Convert to fraction form
    52,509.42/72,467.31 = 29,855.52/x
  3. Step 3: Cross multiply
    52,509.42x = 72,467.31 × 29,855.52
  4. Step 4: Simplify right side
    52,509.42x = 2,163,549,223.05
  5. Step 5: Solve for x
    x = 2,163,549,223.05/52,509.42
  6. Step 6: Final answer
    x = 41,203.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.