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Finding the Fourth Proportional to 34,419.60, 51,619.44 and 9,460.46

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Solution

The fourth proportional to 34,419.60, 51,619.44 and 9,460.46 is: 14,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,419.60 : 51,619.44 = 9,460.46 : x
  2. Step 2: Convert to fraction form
    34,419.60/51,619.44 = 9,460.46/x
  3. Step 3: Cross multiply
    34,419.60x = 51,619.44 × 9,460.46
  4. Step 4: Simplify right side
    34,419.60x = 488,343,647.34
  5. Step 5: Solve for x
    x = 488,343,647.34/34,419.60
  6. Step 6: Final answer
    x = 14,187.95

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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.