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Finding the Fourth Proportional to 30,276.62, 45,349.29 and 14,661.50

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Solution

The fourth proportional to 30,276.62, 45,349.29 and 14,661.50 is: 21,960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276.62 : 45,349.29 = 14,661.50 : x
  2. Step 2: Convert to fraction form
    30,276.62/45,349.29 = 14,661.50/x
  3. Step 3: Cross multiply
    30,276.62x = 45,349.29 × 14,661.50
  4. Step 4: Simplify right side
    30,276.62x = 664,888,615.34
  5. Step 5: Solve for x
    x = 664,888,615.34/30,276.62
  6. Step 6: Final answer
    x = 21,960.46

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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.