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Finding the Fourth Proportional to 94,744, 130,744.16 and 52,301.60

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Solution

The fourth proportional to 94,744, 130,744.16 and 52,301.60 is: 72,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,744 : 130,744.16 = 52,301.60 : x
  2. Step 2: Convert to fraction form
    94,744/130,744.16 = 52,301.60/x
  3. Step 3: Cross multiply
    94,744x = 130,744.16 × 52,301.60
  4. Step 4: Simplify right side
    94,744x = 6,838,128,758.66
  5. Step 5: Solve for x
    x = 6,838,128,758.66/94,744
  6. Step 6: Final answer
    x = 72,174.79

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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.