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Finding the Fourth Proportional to 52,370, 72,270.60 and 30,014

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Solution

The fourth proportional to 52,370, 72,270.60 and 30,014 is: 41,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,370 : 72,270.60 = 30,014 : x
  2. Step 2: Convert to fraction form
    52,370/72,270.60 = 30,014/x
  3. Step 3: Cross multiply
    52,370x = 72,270.60 × 30,014
  4. Step 4: Simplify right side
    52,370x = 2,169,129,788.40
  5. Step 5: Solve for x
    x = 2,169,129,788.40/52,370
  6. Step 6: Final answer
    x = 41,419.32

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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.