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Finding the Fourth Proportional to 30,225.83, 45,338.00 and 14,442.03

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Solution

The fourth proportional to 30,225.83, 45,338.00 and 14,442.03 is: 21,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225.83 : 45,338.00 = 14,442.03 : x
  2. Step 2: Convert to fraction form
    30,225.83/45,338.00 = 14,442.03/x
  3. Step 3: Cross multiply
    30,225.83x = 45,338.00 × 14,442.03
  4. Step 4: Simplify right side
    30,225.83x = 654,772,683.93
  5. Step 5: Solve for x
    x = 654,772,683.93/30,225.83
  6. Step 6: Final answer
    x = 21,662.69

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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.