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Finding the Fourth Proportional to 114,752.42, 172,102.62 and 43,649.60

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Solution

The fourth proportional to 114,752.42, 172,102.62 and 43,649.60 is: 65,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,752.42 : 172,102.62 = 43,649.60 : x
  2. Step 2: Convert to fraction form
    114,752.42/172,102.62 = 43,649.60/x
  3. Step 3: Cross multiply
    114,752.42x = 172,102.62 × 43,649.60
  4. Step 4: Simplify right side
    114,752.42x = 7,512,210,521.95
  5. Step 5: Solve for x
    x = 7,512,210,521.95/114,752.42
  6. Step 6: Final answer
    x = 65,464.51

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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.