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Finding the Fourth Proportional to 32,830.68, 49,246.02 and 19,666.56

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Solution

The fourth proportional to 32,830.68, 49,246.02 and 19,666.56 is: 29,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.68 : 49,246.02 = 19,666.56 : x
  2. Step 2: Convert to fraction form
    32,830.68/49,246.02 = 19,666.56/x
  3. Step 3: Cross multiply
    32,830.68x = 49,246.02 × 19,666.56
  4. Step 4: Simplify right side
    32,830.68x = 968,499,807.09
  5. Step 5: Solve for x
    x = 968,499,807.09/32,830.68
  6. Step 6: Final answer
    x = 29,499.84

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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.