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Finding the Fourth Proportional to 30,772.80, 46,159.20 and 27,565.20

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Solution

The fourth proportional to 30,772.80, 46,159.20 and 27,565.20 is: 41,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.80 : 46,159.20 = 27,565.20 : x
  2. Step 2: Convert to fraction form
    30,772.80/46,159.20 = 27,565.20/x
  3. Step 3: Cross multiply
    30,772.80x = 46,159.20 × 27,565.20
  4. Step 4: Simplify right side
    30,772.80x = 1,272,387,579.84
  5. Step 5: Solve for x
    x = 1,272,387,579.84/30,772.80
  6. Step 6: Final answer
    x = 41,347.80

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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.