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Finding the Fourth Proportional to 38,590.59, 53,280.27 and 29,684.64

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Solution

The fourth proportional to 38,590.59, 53,280.27 and 29,684.64 is: 40,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,590.59 : 53,280.27 = 29,684.64 : x
  2. Step 2: Convert to fraction form
    38,590.59/53,280.27 = 29,684.64/x
  3. Step 3: Cross multiply
    38,590.59x = 53,280.27 × 29,684.64
  4. Step 4: Simplify right side
    38,590.59x = 1,581,605,634.05
  5. Step 5: Solve for x
    x = 1,581,605,634.05/38,590.59
  6. Step 6: Final answer
    x = 40,984.23

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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.