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Finding the Fourth Proportional to 73,175.16, 100,878.30 and 51,946.68

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Solution

The fourth proportional to 73,175.16, 100,878.30 and 51,946.68 is: 71,613.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,175.16 : 100,878.30 = 51,946.68 : x
  2. Step 2: Convert to fraction form
    73,175.16/100,878.30 = 51,946.68/x
  3. Step 3: Cross multiply
    73,175.16x = 100,878.30 × 51,946.68
  4. Step 4: Simplify right side
    73,175.16x = 5,240,292,769.04
  5. Step 5: Solve for x
    x = 5,240,292,769.04/73,175.16
  6. Step 6: Final answer
    x = 71,613.00

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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.