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Finding the Fourth Proportional to 65,272.90, 97,836.45 and 37,206.40

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Solution

The fourth proportional to 65,272.90, 97,836.45 and 37,206.40 is: 55,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,272.90 : 97,836.45 = 37,206.40 : x
  2. Step 2: Convert to fraction form
    65,272.90/97,836.45 = 37,206.40/x
  3. Step 3: Cross multiply
    65,272.90x = 97,836.45 × 37,206.40
  4. Step 4: Simplify right side
    65,272.90x = 3,640,142,093.28
  5. Step 5: Solve for x
    x = 3,640,142,093.28/65,272.90
  6. Step 6: Final answer
    x = 55,768.05

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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.