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Finding the Fourth Proportional to 64,971.60, 97,408.80 and 35,422.80

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Solution

The fourth proportional to 64,971.60, 97,408.80 and 35,422.80 is: 53,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,971.60 : 97,408.80 = 35,422.80 : x
  2. Step 2: Convert to fraction form
    64,971.60/97,408.80 = 35,422.80/x
  3. Step 3: Cross multiply
    64,971.60x = 97,408.80 × 35,422.80
  4. Step 4: Simplify right side
    64,971.60x = 3,450,492,440.64
  5. Step 5: Solve for x
    x = 3,450,492,440.64/64,971.60
  6. Step 6: Final answer
    x = 53,107.70

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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.