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Finding the Fourth Proportional to 47,477.66, 71,116.04 and 30,788.12

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Solution

The fourth proportional to 47,477.66, 71,116.04 and 30,788.12 is: 46,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,477.66 : 71,116.04 = 30,788.12 : x
  2. Step 2: Convert to fraction form
    47,477.66/71,116.04 = 30,788.12/x
  3. Step 3: Cross multiply
    47,477.66x = 71,116.04 × 30,788.12
  4. Step 4: Simplify right side
    47,477.66x = 2,189,529,173.44
  5. Step 5: Solve for x
    x = 2,189,529,173.44/47,477.66
  6. Step 6: Final answer
    x = 46,117.04

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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.