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Finding the Fourth Proportional to 74,101.50, 102,261.69 and 40,567.50

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Solution

The fourth proportional to 74,101.50, 102,261.69 and 40,567.50 is: 55,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,101.50 : 102,261.69 = 40,567.50 : x
  2. Step 2: Convert to fraction form
    74,101.50/102,261.69 = 40,567.50/x
  3. Step 3: Cross multiply
    74,101.50x = 102,261.69 × 40,567.50
  4. Step 4: Simplify right side
    74,101.50x = 4,148,501,109.08
  5. Step 5: Solve for x
    x = 4,148,501,109.08/74,101.50
  6. Step 6: Final answer
    x = 55,984.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.