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Finding the Fourth Proportional to 94,448.64, 130,340 and 52,008

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Solution

The fourth proportional to 94,448.64, 130,340 and 52,008 is: 71,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,448.64 : 130,340 = 52,008 : x
  2. Step 2: Convert to fraction form
    94,448.64/130,340 = 52,008/x
  3. Step 3: Cross multiply
    94,448.64x = 130,340 × 52,008
  4. Step 4: Simplify right side
    94,448.64x = 6,778,722,720
  5. Step 5: Solve for x
    x = 6,778,722,720/94,448.64
  6. Step 6: Final answer
    x = 71,771.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.