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Finding the Fourth Proportional to 30,130.50, 45,201.87 and 9,069.60

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Solution

The fourth proportional to 30,130.50, 45,201.87 and 9,069.60 is: 13,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,130.50 : 45,201.87 = 9,069.60 : x
  2. Step 2: Convert to fraction form
    30,130.50/45,201.87 = 9,069.60/x
  3. Step 3: Cross multiply
    30,130.50x = 45,201.87 × 9,069.60
  4. Step 4: Simplify right side
    30,130.50x = 409,962,880.15
  5. Step 5: Solve for x
    x = 409,962,880.15/30,130.50
  6. Step 6: Final answer
    x = 13,606.24

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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.