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Finding the Fourth Proportional to 29,814.50, 44,723.32 and 7,628.08

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Solution

The fourth proportional to 29,814.50, 44,723.32 and 7,628.08 is: 11,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814.50 : 44,723.32 = 7,628.08 : x
  2. Step 2: Convert to fraction form
    29,814.50/44,723.32 = 7,628.08/x
  3. Step 3: Cross multiply
    29,814.50x = 44,723.32 × 7,628.08
  4. Step 4: Simplify right side
    29,814.50x = 341,153,062.83
  5. Step 5: Solve for x
    x = 341,153,062.83/29,814.50
  6. Step 6: Final answer
    x = 11,442.52

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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.