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Finding the Fourth Proportional to 65,718.64, 98,507.56 and 46,941.73

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Solution

The fourth proportional to 65,718.64, 98,507.56 and 46,941.73 is: 70,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,718.64 : 98,507.56 = 46,941.73 : x
  2. Step 2: Convert to fraction form
    65,718.64/98,507.56 = 46,941.73/x
  3. Step 3: Cross multiply
    65,718.64x = 98,507.56 × 46,941.73
  4. Step 4: Simplify right side
    65,718.64x = 4,624,114,909.30
  5. Step 5: Solve for x
    x = 4,624,114,909.30/65,718.64
  6. Step 6: Final answer
    x = 70,362.31

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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.