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Finding the Fourth Proportional to 53,705.94, 74,114.16 and 29,834.84

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Solution

The fourth proportional to 53,705.94, 74,114.16 and 29,834.84 is: 41,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,705.94 : 74,114.16 = 29,834.84 : x
  2. Step 2: Convert to fraction form
    53,705.94/74,114.16 = 29,834.84/x
  3. Step 3: Cross multiply
    53,705.94x = 74,114.16 × 29,834.84
  4. Step 4: Simplify right side
    53,705.94x = 2,211,183,734.76
  5. Step 5: Solve for x
    x = 2,211,183,734.76/53,705.94
  6. Step 6: Final answer
    x = 41,172.05

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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.