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Finding the Fourth Proportional to 54,838.65, 75,689.30 and 34,722.34

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Solution

The fourth proportional to 54,838.65, 75,689.30 and 34,722.34 is: 47,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,838.65 : 75,689.30 = 34,722.34 : x
  2. Step 2: Convert to fraction form
    54,838.65/75,689.30 = 34,722.34/x
  3. Step 3: Cross multiply
    54,838.65x = 75,689.30 × 34,722.34
  4. Step 4: Simplify right side
    54,838.65x = 2,628,109,506.54
  5. Step 5: Solve for x
    x = 2,628,109,506.54/54,838.65
  6. Step 6: Final answer
    x = 47,924.40

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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.