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Finding the Fourth Proportional to 30,915.88, 46,386.78 and 10,141.48

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Solution

The fourth proportional to 30,915.88, 46,386.78 and 10,141.48 is: 15,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,915.88 : 46,386.78 = 10,141.48 : x
  2. Step 2: Convert to fraction form
    30,915.88/46,386.78 = 10,141.48/x
  3. Step 3: Cross multiply
    30,915.88x = 46,386.78 × 10,141.48
  4. Step 4: Simplify right side
    30,915.88x = 470,430,601.63
  5. Step 5: Solve for x
    x = 470,430,601.63/30,915.88
  6. Step 6: Final answer
    x = 15,216.47

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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.