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Finding the Fourth Proportional to 76,308.60, 114,461.10 and 20,904.60

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Solution

The fourth proportional to 76,308.60, 114,461.10 and 20,904.60 is: 31,356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,308.60 : 114,461.10 = 20,904.60 : x
  2. Step 2: Convert to fraction form
    76,308.60/114,461.10 = 20,904.60/x
  3. Step 3: Cross multiply
    76,308.60x = 114,461.10 × 20,904.60
  4. Step 4: Simplify right side
    76,308.60x = 2,392,763,511.06
  5. Step 5: Solve for x
    x = 2,392,763,511.06/76,308.60
  6. Step 6: Final answer
    x = 31,356.41

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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.