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Finding the Fourth Proportional to 33,232, 45,860.16 and 18,328.96

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Solution

The fourth proportional to 33,232, 45,860.16 and 18,328.96 is: 25,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232 : 45,860.16 = 18,328.96 : x
  2. Step 2: Convert to fraction form
    33,232/45,860.16 = 18,328.96/x
  3. Step 3: Cross multiply
    33,232x = 45,860.16 × 18,328.96
  4. Step 4: Simplify right side
    33,232x = 840,569,038.23
  5. Step 5: Solve for x
    x = 840,569,038.23/33,232
  6. Step 6: Final answer
    x = 25,293.96

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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.