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Finding the Fourth Proportional to 30,954.10, 46,424.98 and 15,152.34

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Solution

The fourth proportional to 30,954.10, 46,424.98 and 15,152.34 is: 22,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954.10 : 46,424.98 = 15,152.34 : x
  2. Step 2: Convert to fraction form
    30,954.10/46,424.98 = 15,152.34/x
  3. Step 3: Cross multiply
    30,954.10x = 46,424.98 × 15,152.34
  4. Step 4: Simplify right side
    30,954.10x = 703,447,081.45
  5. Step 5: Solve for x
    x = 703,447,081.45/30,954.10
  6. Step 6: Final answer
    x = 22,725.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.