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Finding the Fourth Proportional to 30,004.70, 45,007.05 and 9,228.20

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Solution

The fourth proportional to 30,004.70, 45,007.05 and 9,228.20 is: 13,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,004.70 : 45,007.05 = 9,228.20 : x
  2. Step 2: Convert to fraction form
    30,004.70/45,007.05 = 9,228.20/x
  3. Step 3: Cross multiply
    30,004.70x = 45,007.05 × 9,228.20
  4. Step 4: Simplify right side
    30,004.70x = 415,334,058.81
  5. Step 5: Solve for x
    x = 415,334,058.81/30,004.70
  6. Step 6: Final answer
    x = 13,842.30

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1.5x scale

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.