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Finding the Fourth Proportional to 30,915.57, 46,373.37 and 7,541.82

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Solution

The fourth proportional to 30,915.57, 46,373.37 and 7,541.82 is: 11,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,915.57 : 46,373.37 = 7,541.82 : x
  2. Step 2: Convert to fraction form
    30,915.57/46,373.37 = 7,541.82/x
  3. Step 3: Cross multiply
    30,915.57x = 46,373.37 × 7,541.82
  4. Step 4: Simplify right side
    30,915.57x = 349,739,609.33
  5. Step 5: Solve for x
    x = 349,739,609.33/30,915.57
  6. Step 6: Final answer
    x = 11,312.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.