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Finding the Fourth Proportional to 65,526.83, 98,142.53 and 45,893.01

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Solution

The fourth proportional to 65,526.83, 98,142.53 and 45,893.01 is: 68,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,526.83 : 98,142.53 = 45,893.01 : x
  2. Step 2: Convert to fraction form
    65,526.83/98,142.53 = 45,893.01/x
  3. Step 3: Cross multiply
    65,526.83x = 98,142.53 × 45,893.01
  4. Step 4: Simplify right side
    65,526.83x = 4,504,055,881.25
  5. Step 5: Solve for x
    x = 4,504,055,881.25/65,526.83
  6. Step 6: Final answer
    x = 68,736.06

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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.