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Finding the Fourth Proportional to 65,725.60, 98,534.40 and 28,314.40

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Solution

The fourth proportional to 65,725.60, 98,534.40 and 28,314.40 is: 42,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,725.60 : 98,534.40 = 28,314.40 : x
  2. Step 2: Convert to fraction form
    65,725.60/98,534.40 = 28,314.40/x
  3. Step 3: Cross multiply
    65,725.60x = 98,534.40 × 28,314.40
  4. Step 4: Simplify right side
    65,725.60x = 2,789,942,415.36
  5. Step 5: Solve for x
    x = 2,789,942,415.36/65,725.60
  6. Step 6: Final answer
    x = 42,448.34

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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.