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Finding the Fourth Proportional to 183,760.48, 275,465.76 and 59,014

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Solution

The fourth proportional to 183,760.48, 275,465.76 and 59,014 is: 88,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,760.48 : 275,465.76 = 59,014 : x
  2. Step 2: Convert to fraction form
    183,760.48/275,465.76 = 59,014/x
  3. Step 3: Cross multiply
    183,760.48x = 275,465.76 × 59,014
  4. Step 4: Simplify right side
    183,760.48x = 16,256,336,360.64
  5. Step 5: Solve for x
    x = 16,256,336,360.64/183,760.48
  6. Step 6: Final answer
    x = 88,464.81

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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.