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Finding the Fourth Proportional to 73,176.50, 100,984.65 and 39,642.50

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Solution

The fourth proportional to 73,176.50, 100,984.65 and 39,642.50 is: 54,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176.50 : 100,984.65 = 39,642.50 : x
  2. Step 2: Convert to fraction form
    73,176.50/100,984.65 = 39,642.50/x
  3. Step 3: Cross multiply
    73,176.50x = 100,984.65 × 39,642.50
  4. Step 4: Simplify right side
    73,176.50x = 4,003,283,987.63
  5. Step 5: Solve for x
    x = 4,003,283,987.63/73,176.50
  6. Step 6: Final answer
    x = 54,707.24

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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.