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Finding the Fourth Proportional to 65,153.60, 97,730.40 and 33,984.80

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Solution

The fourth proportional to 65,153.60, 97,730.40 and 33,984.80 is: 50,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,153.60 : 97,730.40 = 33,984.80 : x
  2. Step 2: Convert to fraction form
    65,153.60/97,730.40 = 33,984.80/x
  3. Step 3: Cross multiply
    65,153.60x = 97,730.40 × 33,984.80
  4. Step 4: Simplify right side
    65,153.60x = 3,321,348,097.92
  5. Step 5: Solve for x
    x = 3,321,348,097.92/65,153.60
  6. Step 6: Final answer
    x = 50,977.20

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1.5x scale

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.