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Finding the Fourth Proportional to 30,158.37, 45,222.89 and 9,094.50

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Solution

The fourth proportional to 30,158.37, 45,222.89 and 9,094.50 is: 13,637.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,158.37 : 45,222.89 = 9,094.50 : x
  2. Step 2: Convert to fraction form
    30,158.37/45,222.89 = 9,094.50/x
  3. Step 3: Cross multiply
    30,158.37x = 45,222.89 × 9,094.50
  4. Step 4: Simplify right side
    30,158.37x = 411,279,527.63
  5. Step 5: Solve for x
    x = 411,279,527.63/30,158.37
  6. Step 6: Final answer
    x = 13,637.33

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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.