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Finding the Fourth Proportional to 38,657.86, 53,455.23 and 30,686.26

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Solution

The fourth proportional to 38,657.86, 53,455.23 and 30,686.26 is: 42,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657.86 : 53,455.23 = 30,686.26 : x
  2. Step 2: Convert to fraction form
    38,657.86/53,455.23 = 30,686.26/x
  3. Step 3: Cross multiply
    38,657.86x = 53,455.23 × 30,686.26
  4. Step 4: Simplify right side
    38,657.86x = 1,640,341,086.14
  5. Step 5: Solve for x
    x = 1,640,341,086.14/38,657.86
  6. Step 6: Final answer
    x = 42,432.28

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