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Finding the Fourth Proportional to 49,762, 74,643.27 and 12,826

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Solution

The fourth proportional to 49,762, 74,643.27 and 12,826 is: 19,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762 : 74,643.27 = 12,826 : x
  2. Step 2: Convert to fraction form
    49,762/74,643.27 = 12,826/x
  3. Step 3: Cross multiply
    49,762x = 74,643.27 × 12,826
  4. Step 4: Simplify right side
    49,762x = 957,374,581.02
  5. Step 5: Solve for x
    x = 957,374,581.02/49,762
  6. Step 6: Final answer
    x = 19,239.07

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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.