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Finding the Fourth Proportional to 35,840.35, 49,454.25 and 20,730

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Solution

The fourth proportional to 35,840.35, 49,454.25 and 20,730 is: 28,604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,840.35 : 49,454.25 = 20,730 : x
  2. Step 2: Convert to fraction form
    35,840.35/49,454.25 = 20,730/x
  3. Step 3: Cross multiply
    35,840.35x = 49,454.25 × 20,730
  4. Step 4: Simplify right side
    35,840.35x = 1,025,186,602.50
  5. Step 5: Solve for x
    x = 1,025,186,602.50/35,840.35
  6. Step 6: Final answer
    x = 28,604.26

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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.