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Finding the Fourth Proportional to 30,434.23, 45,651.35 and 19,913.09

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Solution

The fourth proportional to 30,434.23, 45,651.35 and 19,913.09 is: 29,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.23 : 45,651.35 = 19,913.09 : x
  2. Step 2: Convert to fraction form
    30,434.23/45,651.35 = 19,913.09/x
  3. Step 3: Cross multiply
    30,434.23x = 45,651.35 × 19,913.09
  4. Step 4: Simplify right side
    30,434.23x = 909,059,407.48
  5. Step 5: Solve for x
    x = 909,059,407.48/30,434.23
  6. Step 6: Final answer
    x = 29,869.64

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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.