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Finding the Fourth Proportional to 54,429.90, 75,124.32 and 31,460.70

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Solution

The fourth proportional to 54,429.90, 75,124.32 and 31,460.70 is: 43,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,429.90 : 75,124.32 = 31,460.70 : x
  2. Step 2: Convert to fraction form
    54,429.90/75,124.32 = 31,460.70/x
  3. Step 3: Cross multiply
    54,429.90x = 75,124.32 × 31,460.70
  4. Step 4: Simplify right side
    54,429.90x = 2,363,463,694.22
  5. Step 5: Solve for x
    x = 2,363,463,694.22/54,429.90
  6. Step 6: Final answer
    x = 43,422.16

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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.