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Finding the Fourth Proportional to 46,042.46, 69,065.10 and 12,762.80

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Solution

The fourth proportional to 46,042.46, 69,065.10 and 12,762.80 is: 19,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,042.46 : 69,065.10 = 12,762.80 : x
  2. Step 2: Convert to fraction form
    46,042.46/69,065.10 = 12,762.80/x
  3. Step 3: Cross multiply
    46,042.46x = 69,065.10 × 12,762.80
  4. Step 4: Simplify right side
    46,042.46x = 881,463,712.95
  5. Step 5: Solve for x
    x = 881,463,712.95/46,042.46
  6. Step 6: Final answer
    x = 19,144.59

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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.