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Finding the Fourth Proportional to 30,295, 45,412.26 and 12,774.52

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Solution

The fourth proportional to 30,295, 45,412.26 and 12,774.52 is: 19,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295 : 45,412.26 = 12,774.52 : x
  2. Step 2: Convert to fraction form
    30,295/45,412.26 = 12,774.52/x
  3. Step 3: Cross multiply
    30,295x = 45,412.26 × 12,774.52
  4. Step 4: Simplify right side
    30,295x = 580,119,823.62
  5. Step 5: Solve for x
    x = 580,119,823.62/30,295
  6. Step 6: Final answer
    x = 19,149.03

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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.