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Finding the Fourth Proportional to 52,614, 72,609.48 and 30,258

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Solution

The fourth proportional to 52,614, 72,609.48 and 30,258 is: 41,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,614 : 72,609.48 = 30,258 : x
  2. Step 2: Convert to fraction form
    52,614/72,609.48 = 30,258/x
  3. Step 3: Cross multiply
    52,614x = 72,609.48 × 30,258
  4. Step 4: Simplify right side
    52,614x = 2,197,017,645.84
  5. Step 5: Solve for x
    x = 2,197,017,645.84/52,614
  6. Step 6: Final answer
    x = 41,757.28

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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.