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Finding the Fourth Proportional to 65,080.40, 97,404.60 and 47,260.40

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Solution

The fourth proportional to 65,080.40, 97,404.60 and 47,260.40 is: 70,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,080.40 : 97,404.60 = 47,260.40 : x
  2. Step 2: Convert to fraction form
    65,080.40/97,404.60 = 47,260.40/x
  3. Step 3: Cross multiply
    65,080.40x = 97,404.60 × 47,260.40
  4. Step 4: Simplify right side
    65,080.40x = 4,603,380,357.84
  5. Step 5: Solve for x
    x = 4,603,380,357.84/65,080.40
  6. Step 6: Final answer
    x = 70,733.74

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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.