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Finding the Fourth Proportional to 30,284.29, 45,434.02 and 17,814.74

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Solution

The fourth proportional to 30,284.29, 45,434.02 and 17,814.74 is: 26,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.29 : 45,434.02 = 17,814.74 : x
  2. Step 2: Convert to fraction form
    30,284.29/45,434.02 = 17,814.74/x
  3. Step 3: Cross multiply
    30,284.29x = 45,434.02 × 17,814.74
  4. Step 4: Simplify right side
    30,284.29x = 809,395,253.45
  5. Step 5: Solve for x
    x = 809,395,253.45/30,284.29
  6. Step 6: Final answer
    x = 26,726.58

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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.