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Finding the Fourth Proportional to 30,523.52, 45,784.74 and 9,747.02

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Solution

The fourth proportional to 30,523.52, 45,784.74 and 9,747.02 is: 14,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.52 : 45,784.74 = 9,747.02 : x
  2. Step 2: Convert to fraction form
    30,523.52/45,784.74 = 9,747.02/x
  3. Step 3: Cross multiply
    30,523.52x = 45,784.74 × 9,747.02
  4. Step 4: Simplify right side
    30,523.52x = 446,264,776.47
  5. Step 5: Solve for x
    x = 446,264,776.47/30,523.52
  6. Step 6: Final answer
    x = 14,620.36

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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.