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Finding the Fourth Proportional to 30,483.89, 45,727.86 and 11,764.16

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Solution

The fourth proportional to 30,483.89, 45,727.86 and 11,764.16 is: 17,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,483.89 : 45,727.86 = 11,764.16 : x
  2. Step 2: Convert to fraction form
    30,483.89/45,727.86 = 11,764.16/x
  3. Step 3: Cross multiply
    30,483.89x = 45,727.86 × 11,764.16
  4. Step 4: Simplify right side
    30,483.89x = 537,949,861.50
  5. Step 5: Solve for x
    x = 537,949,861.50/30,483.89
  6. Step 6: Final answer
    x = 17,647.02

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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.