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Finding the Fourth Proportional to 74,214.53, 111,059.02 and 46,147.80

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Solution

The fourth proportional to 74,214.53, 111,059.02 and 46,147.80 is: 69,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,214.53 : 111,059.02 = 46,147.80 : x
  2. Step 2: Convert to fraction form
    74,214.53/111,059.02 = 46,147.80/x
  3. Step 3: Cross multiply
    74,214.53x = 111,059.02 × 46,147.80
  4. Step 4: Simplify right side
    74,214.53x = 5,125,129,657.73
  5. Step 5: Solve for x
    x = 5,125,129,657.73/74,214.53
  6. Step 6: Final answer
    x = 69,058.30

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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.