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Finding the Fourth Proportional to 65,373, 98,074.08 and 23,820

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Solution

The fourth proportional to 65,373, 98,074.08 and 23,820 is: 35,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,373 : 98,074.08 = 23,820 : x
  2. Step 2: Convert to fraction form
    65,373/98,074.08 = 23,820/x
  3. Step 3: Cross multiply
    65,373x = 98,074.08 × 23,820
  4. Step 4: Simplify right side
    65,373x = 2,336,124,585.60
  5. Step 5: Solve for x
    x = 2,336,124,585.60/65,373
  6. Step 6: Final answer
    x = 35,735.31

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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.