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Finding the Fourth Proportional to 30,548.53, 45,829.97 and 9,487.48

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Solution

The fourth proportional to 30,548.53, 45,829.97 and 9,487.48 is: 14,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,548.53 : 45,829.97 = 9,487.48 : x
  2. Step 2: Convert to fraction form
    30,548.53/45,829.97 = 9,487.48/x
  3. Step 3: Cross multiply
    30,548.53x = 45,829.97 × 9,487.48
  4. Step 4: Simplify right side
    30,548.53x = 434,810,876.34
  5. Step 5: Solve for x
    x = 434,810,876.34/30,548.53
  6. Step 6: Final answer
    x = 14,233.45

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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.