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Finding the Fourth Proportional to 36,074.40, 54,111.60 and 9,782.40

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Solution

The fourth proportional to 36,074.40, 54,111.60 and 9,782.40 is: 14,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,074.40 : 54,111.60 = 9,782.40 : x
  2. Step 2: Convert to fraction form
    36,074.40/54,111.60 = 9,782.40/x
  3. Step 3: Cross multiply
    36,074.40x = 54,111.60 × 9,782.40
  4. Step 4: Simplify right side
    36,074.40x = 529,341,315.84
  5. Step 5: Solve for x
    x = 529,341,315.84/36,074.40
  6. Step 6: Final answer
    x = 14,673.60

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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.