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Finding the Fourth Proportional to 30,614.61, 45,917.60 and 9,549.75

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Solution

The fourth proportional to 30,614.61, 45,917.60 and 9,549.75 is: 14,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614.61 : 45,917.60 = 9,549.75 : x
  2. Step 2: Convert to fraction form
    30,614.61/45,917.60 = 9,549.75/x
  3. Step 3: Cross multiply
    30,614.61x = 45,917.60 × 9,549.75
  4. Step 4: Simplify right side
    30,614.61x = 438,501,552.85
  5. Step 5: Solve for x
    x = 438,501,552.85/30,614.61
  6. Step 6: Final answer
    x = 14,323.28

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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.