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Finding the Fourth Proportional to 54,303.84, 74,941.32 and 30,429.63

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Solution

The fourth proportional to 54,303.84, 74,941.32 and 30,429.63 is: 41,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,303.84 : 74,941.32 = 30,429.63 : x
  2. Step 2: Convert to fraction form
    54,303.84/74,941.32 = 30,429.63/x
  3. Step 3: Cross multiply
    54,303.84x = 74,941.32 × 30,429.63
  4. Step 4: Simplify right side
    54,303.84x = 2,280,436,639.31
  5. Step 5: Solve for x
    x = 2,280,436,639.31/54,303.84
  6. Step 6: Final answer
    x = 41,994.02

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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.