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Finding the Fourth Proportional to 71,610.51, 107,415.08 and 43,538.31

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Solution

The fourth proportional to 71,610.51, 107,415.08 and 43,538.31 is: 65,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,610.51 : 107,415.08 = 43,538.31 : x
  2. Step 2: Convert to fraction form
    71,610.51/107,415.08 = 43,538.31/x
  3. Step 3: Cross multiply
    71,610.51x = 107,415.08 × 43,538.31
  4. Step 4: Simplify right side
    71,610.51x = 4,676,670,834.02
  5. Step 5: Solve for x
    x = 4,676,670,834.02/71,610.51
  6. Step 6: Final answer
    x = 65,307.05

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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.