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Finding the Fourth Proportional to 54,915.23, 75,780.06 and 31,040.48

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Solution

The fourth proportional to 54,915.23, 75,780.06 and 31,040.48 is: 42,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,915.23 : 75,780.06 = 31,040.48 : x
  2. Step 2: Convert to fraction form
    54,915.23/75,780.06 = 31,040.48/x
  3. Step 3: Cross multiply
    54,915.23x = 75,780.06 × 31,040.48
  4. Step 4: Simplify right side
    54,915.23x = 2,352,249,509.88
  5. Step 5: Solve for x
    x = 2,352,249,509.88/54,915.23
  6. Step 6: Final answer
    x = 42,834.19

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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.