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Finding the Fourth Proportional to 54,303.51, 74,936.73 and 30,429

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Solution

The fourth proportional to 54,303.51, 74,936.73 and 30,429 is: 41,990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,303.51 : 74,936.73 = 30,429 : x
  2. Step 2: Convert to fraction form
    54,303.51/74,936.73 = 30,429/x
  3. Step 3: Cross multiply
    54,303.51x = 74,936.73 × 30,429
  4. Step 4: Simplify right side
    54,303.51x = 2,280,249,757.17
  5. Step 5: Solve for x
    x = 2,280,249,757.17/54,303.51
  6. Step 6: Final answer
    x = 41,990.84

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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.