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Finding the Fourth Proportional to 30,852.84, 46,279.50 and 10,076.40

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Solution

The fourth proportional to 30,852.84, 46,279.50 and 10,076.40 is: 15,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.84 : 46,279.50 = 10,076.40 : x
  2. Step 2: Convert to fraction form
    30,852.84/46,279.50 = 10,076.40/x
  3. Step 3: Cross multiply
    30,852.84x = 46,279.50 × 10,076.40
  4. Step 4: Simplify right side
    30,852.84x = 466,330,753.80
  5. Step 5: Solve for x
    x = 466,330,753.80/30,852.84
  6. Step 6: Final answer
    x = 15,114.68

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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.