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Finding the Fourth Proportional to 47,498.04, 71,254.35 and 16,326

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Solution

The fourth proportional to 47,498.04, 71,254.35 and 16,326 is: 24,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,498.04 : 71,254.35 = 16,326 : x
  2. Step 2: Convert to fraction form
    47,498.04/71,254.35 = 16,326/x
  3. Step 3: Cross multiply
    47,498.04x = 71,254.35 × 16,326
  4. Step 4: Simplify right side
    47,498.04x = 1,163,298,518.10
  5. Step 5: Solve for x
    x = 1,163,298,518.10/47,498.04
  6. Step 6: Final answer
    x = 24,491.51

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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.