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Finding the Fourth Proportional to 33,534.96, 46,278.84 and 18,429

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Solution

The fourth proportional to 33,534.96, 46,278.84 and 18,429 is: 25,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,534.96 : 46,278.84 = 18,429 : x
  2. Step 2: Convert to fraction form
    33,534.96/46,278.84 = 18,429/x
  3. Step 3: Cross multiply
    33,534.96x = 46,278.84 × 18,429
  4. Step 4: Simplify right side
    33,534.96x = 852,872,742.36
  5. Step 5: Solve for x
    x = 852,872,742.36/33,534.96
  6. Step 6: Final answer
    x = 25,432.35

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