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Finding the Fourth Proportional to 104,551, 156,853.14 and 30,679

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Solution

The fourth proportional to 104,551, 156,853.14 and 30,679 is: 46,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,551 : 156,853.14 = 30,679 : x
  2. Step 2: Convert to fraction form
    104,551/156,853.14 = 30,679/x
  3. Step 3: Cross multiply
    104,551x = 156,853.14 × 30,679
  4. Step 4: Simplify right side
    104,551x = 4,812,097,482.06
  5. Step 5: Solve for x
    x = 4,812,097,482.06/104,551
  6. Step 6: Final answer
    x = 46,026.32

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Why These Related Problems?

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