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Finding the Fourth Proportional to 104,331, 156,526.74 and 30,459

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Solution

The fourth proportional to 104,331, 156,526.74 and 30,459 is: 45,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,331 : 156,526.74 = 30,459 : x
  2. Step 2: Convert to fraction form
    104,331/156,526.74 = 30,459/x
  3. Step 3: Cross multiply
    104,331x = 156,526.74 × 30,459
  4. Step 4: Simplify right side
    104,331x = 4,767,647,973.66
  5. Step 5: Solve for x
    x = 4,767,647,973.66/104,331
  6. Step 6: Final answer
    x = 45,697.33

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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.