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Finding the Fourth Proportional to 32,830.60, 49,246.30 and 10,643.80

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Solution

The fourth proportional to 32,830.60, 49,246.30 and 10,643.80 is: 15,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.60 : 49,246.30 = 10,643.80 : x
  2. Step 2: Convert to fraction form
    32,830.60/49,246.30 = 10,643.80/x
  3. Step 3: Cross multiply
    32,830.60x = 49,246.30 × 10,643.80
  4. Step 4: Simplify right side
    32,830.60x = 524,167,767.94
  5. Step 5: Solve for x
    x = 524,167,767.94/32,830.60
  6. Step 6: Final answer
    x = 15,965.83

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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.