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Finding the Fourth Proportional to 54,648.10, 75,411.75 and 30,774.34

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Solution

The fourth proportional to 54,648.10, 75,411.75 and 30,774.34 is: 42,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,648.10 : 75,411.75 = 30,774.34 : x
  2. Step 2: Convert to fraction form
    54,648.10/75,411.75 = 30,774.34/x
  3. Step 3: Cross multiply
    54,648.10x = 75,411.75 × 30,774.34
  4. Step 4: Simplify right side
    54,648.10x = 2,320,746,834.50
  5. Step 5: Solve for x
    x = 2,320,746,834.50/54,648.10
  6. Step 6: Final answer
    x = 42,467.11

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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.