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Finding the Fourth Proportional to 33,336, 46,003.68 and 18,432

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Solution

The fourth proportional to 33,336, 46,003.68 and 18,432 is: 25,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,336 : 46,003.68 = 18,432 : x
  2. Step 2: Convert to fraction form
    33,336/46,003.68 = 18,432/x
  3. Step 3: Cross multiply
    33,336x = 46,003.68 × 18,432
  4. Step 4: Simplify right side
    33,336x = 847,939,829.76
  5. Step 5: Solve for x
    x = 847,939,829.76/33,336
  6. Step 6: Final answer
    x = 25,436.16

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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.