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Finding the Fourth Proportional to 30,138.48, 45,209.88 and 10,148.00

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Solution

The fourth proportional to 30,138.48, 45,209.88 and 10,148.00 is: 15,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.48 : 45,209.88 = 10,148.00 : x
  2. Step 2: Convert to fraction form
    30,138.48/45,209.88 = 10,148.00/x
  3. Step 3: Cross multiply
    30,138.48x = 45,209.88 × 10,148.00
  4. Step 4: Simplify right side
    30,138.48x = 458,789,636.19
  5. Step 5: Solve for x
    x = 458,789,636.19/30,138.48
  6. Step 6: Final answer
    x = 15,222.72

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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.