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Finding the Fourth Proportional to 30,378.89, 45,568.05 and 9,602.39

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Solution

The fourth proportional to 30,378.89, 45,568.05 and 9,602.39 is: 14,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.89 : 45,568.05 = 9,602.39 : x
  2. Step 2: Convert to fraction form
    30,378.89/45,568.05 = 9,602.39/x
  3. Step 3: Cross multiply
    30,378.89x = 45,568.05 × 9,602.39
  4. Step 4: Simplify right side
    30,378.89x = 437,561,959.80
  5. Step 5: Solve for x
    x = 437,561,959.80/30,378.89
  6. Step 6: Final answer
    x = 14,403.49

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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.