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Finding the Fourth Proportional to 65,313.84, 97,892.76 and 45,485.04

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Solution

The fourth proportional to 65,313.84, 97,892.76 and 45,485.04 is: 68,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,313.84 : 97,892.76 = 45,485.04 : x
  2. Step 2: Convert to fraction form
    65,313.84/97,892.76 = 45,485.04/x
  3. Step 3: Cross multiply
    65,313.84x = 97,892.76 × 45,485.04
  4. Step 4: Simplify right side
    65,313.84x = 4,452,656,104.31
  5. Step 5: Solve for x
    x = 4,452,656,104.31/65,313.84
  6. Step 6: Final answer
    x = 68,173.24

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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.