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Finding the Fourth Proportional to 29,312.69, 40,409.69 and 24,212.12

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Solution

The fourth proportional to 29,312.69, 40,409.69 and 24,212.12 is: 33,378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,312.69 : 40,409.69 = 24,212.12 : x
  2. Step 2: Convert to fraction form
    29,312.69/40,409.69 = 24,212.12/x
  3. Step 3: Cross multiply
    29,312.69x = 40,409.69 × 24,212.12
  4. Step 4: Simplify right side
    29,312.69x = 978,403,940.33
  5. Step 5: Solve for x
    x = 978,403,940.33/29,312.69
  6. Step 6: Final answer
    x = 33,378.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.