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Finding the Fourth Proportional to 30,294.03, 45,447.60 and 9,233.52

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Solution

The fourth proportional to 30,294.03, 45,447.60 and 9,233.52 is: 13,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.03 : 45,447.60 = 9,233.52 : x
  2. Step 2: Convert to fraction form
    30,294.03/45,447.60 = 9,233.52/x
  3. Step 3: Cross multiply
    30,294.03x = 45,447.60 × 9,233.52
  4. Step 4: Simplify right side
    30,294.03x = 419,641,323.55
  5. Step 5: Solve for x
    x = 419,641,323.55/30,294.03
  6. Step 6: Final answer
    x = 13,852.28

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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.