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Finding the Fourth Proportional to 38,657.61, 53,454.87 and 30,686.00

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Solution

The fourth proportional to 38,657.61, 53,454.87 and 30,686.00 is: 42,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657.61 : 53,454.87 = 30,686.00 : x
  2. Step 2: Convert to fraction form
    38,657.61/53,454.87 = 30,686.00/x
  3. Step 3: Cross multiply
    38,657.61x = 53,454.87 × 30,686.00
  4. Step 4: Simplify right side
    38,657.61x = 1,640,315,873.55
  5. Step 5: Solve for x
    x = 1,640,315,873.55/38,657.61
  6. Step 6: Final answer
    x = 42,431.90

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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.