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Finding the Fourth Proportional to 30,026.50, 45,040.38 and 9,250

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Solution

The fourth proportional to 30,026.50, 45,040.38 and 9,250 is: 13,875.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,026.50 : 45,040.38 = 9,250 : x
  2. Step 2: Convert to fraction form
    30,026.50/45,040.38 = 9,250/x
  3. Step 3: Cross multiply
    30,026.50x = 45,040.38 × 9,250
  4. Step 4: Simplify right side
    30,026.50x = 416,623,515
  5. Step 5: Solve for x
    x = 416,623,515/30,026.50
  6. Step 6: Final answer
    x = 13,875.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.