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Finding the Fourth Proportional to 73,030.40, 100,781.38 and 39,496.40

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Solution

The fourth proportional to 73,030.40, 100,781.38 and 39,496.40 is: 54,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,030.40 : 100,781.38 = 39,496.40 : x
  2. Step 2: Convert to fraction form
    73,030.40/100,781.38 = 39,496.40/x
  3. Step 3: Cross multiply
    73,030.40x = 100,781.38 × 39,496.40
  4. Step 4: Simplify right side
    73,030.40x = 3,980,501,697.03
  5. Step 5: Solve for x
    x = 3,980,501,697.03/73,030.40
  6. Step 6: Final answer
    x = 54,504.72

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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.