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Finding the Fourth Proportional to 30,840.83, 46,262.90 and 9,782.46

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Solution

The fourth proportional to 30,840.83, 46,262.90 and 9,782.46 is: 14,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840.83 : 46,262.90 = 9,782.46 : x
  2. Step 2: Convert to fraction form
    30,840.83/46,262.90 = 9,782.46/x
  3. Step 3: Cross multiply
    30,840.83x = 46,262.90 × 9,782.46
  4. Step 4: Simplify right side
    30,840.83x = 452,564,919.82
  5. Step 5: Solve for x
    x = 452,564,919.82/30,840.83
  6. Step 6: Final answer
    x = 14,674.22

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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.