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Finding the Fourth Proportional to 32,483.12, 48,726.41 and 10,298.23

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Solution

The fourth proportional to 32,483.12, 48,726.41 and 10,298.23 is: 15,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,483.12 : 48,726.41 = 10,298.23 : x
  2. Step 2: Convert to fraction form
    32,483.12/48,726.41 = 10,298.23/x
  3. Step 3: Cross multiply
    32,483.12x = 48,726.41 × 10,298.23
  4. Step 4: Simplify right side
    32,483.12x = 501,795,603.95
  5. Step 5: Solve for x
    x = 501,795,603.95/32,483.12
  6. Step 6: Final answer
    x = 15,447.89

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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.