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Finding the Fourth Proportional to 55,734.48, 76,915.80 and 30,584.88

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Solution

The fourth proportional to 55,734.48, 76,915.80 and 30,584.88 is: 42,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,734.48 : 76,915.80 = 30,584.88 : x
  2. Step 2: Convert to fraction form
    55,734.48/76,915.80 = 30,584.88/x
  3. Step 3: Cross multiply
    55,734.48x = 76,915.80 × 30,584.88
  4. Step 4: Simplify right side
    55,734.48x = 2,352,460,513.10
  5. Step 5: Solve for x
    x = 2,352,460,513.10/55,734.48
  6. Step 6: Final answer
    x = 42,208.35

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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.