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Finding the Fourth Proportional to 29,643.96, 40,909.32 and 17,705.07

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Solution

The fourth proportional to 29,643.96, 40,909.32 and 17,705.07 is: 24,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643.96 : 40,909.32 = 17,705.07 : x
  2. Step 2: Convert to fraction form
    29,643.96/40,909.32 = 17,705.07/x
  3. Step 3: Cross multiply
    29,643.96x = 40,909.32 × 17,705.07
  4. Step 4: Simplify right side
    29,643.96x = 724,302,374.25
  5. Step 5: Solve for x
    x = 724,302,374.25/29,643.96
  6. Step 6: Final answer
    x = 24,433.39

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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.