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Finding the Fourth Proportional to 74,957.38, 103,438.14 and 40,967.00

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Solution

The fourth proportional to 74,957.38, 103,438.14 and 40,967.00 is: 56,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,957.38 : 103,438.14 = 40,967.00 : x
  2. Step 2: Convert to fraction form
    74,957.38/103,438.14 = 40,967.00/x
  3. Step 3: Cross multiply
    74,957.38x = 103,438.14 × 40,967.00
  4. Step 4: Simplify right side
    74,957.38x = 4,237,550,113.68
  5. Step 5: Solve for x
    x = 4,237,550,113.68/74,957.38
  6. Step 6: Final answer
    x = 56,532.79

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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.