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Finding the Fourth Proportional to 30,649.65, 45,957.79 and 9,580.60

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Solution

The fourth proportional to 30,649.65, 45,957.79 and 9,580.60 is: 14,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.65 : 45,957.79 = 9,580.60 : x
  2. Step 2: Convert to fraction form
    30,649.65/45,957.79 = 9,580.60/x
  3. Step 3: Cross multiply
    30,649.65x = 45,957.79 × 9,580.60
  4. Step 4: Simplify right side
    30,649.65x = 440,303,202.87
  5. Step 5: Solve for x
    x = 440,303,202.87/30,649.65
  6. Step 6: Final answer
    x = 14,365.68

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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.