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Finding the Fourth Proportional to 38,670, 53,390.34 and 29,701.50

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Solution

The fourth proportional to 38,670, 53,390.34 and 29,701.50 is: 41,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,670 : 53,390.34 = 29,701.50 : x
  2. Step 2: Convert to fraction form
    38,670/53,390.34 = 29,701.50/x
  3. Step 3: Cross multiply
    38,670x = 53,390.34 × 29,701.50
  4. Step 4: Simplify right side
    38,670x = 1,585,773,183.51
  5. Step 5: Solve for x
    x = 1,585,773,183.51/38,670
  6. Step 6: Final answer
    x = 41,007.84

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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.