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Finding the Fourth Proportional to 30,762.88, 46,148.18 and 12,040.50

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Solution

The fourth proportional to 30,762.88, 46,148.18 and 12,040.50 is: 18,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.88 : 46,148.18 = 12,040.50 : x
  2. Step 2: Convert to fraction form
    30,762.88/46,148.18 = 12,040.50/x
  3. Step 3: Cross multiply
    30,762.88x = 46,148.18 × 12,040.50
  4. Step 4: Simplify right side
    30,762.88x = 555,647,161.29
  5. Step 5: Solve for x
    x = 555,647,161.29/30,762.88
  6. Step 6: Final answer
    x = 18,062.26

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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.