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Finding the Fourth Proportional to 73,709.65, 101,719.35 and 41,878.60

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Solution

The fourth proportional to 73,709.65, 101,719.35 and 41,878.60 is: 57,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,709.65 : 101,719.35 = 41,878.60 : x
  2. Step 2: Convert to fraction form
    73,709.65/101,719.35 = 41,878.60/x
  3. Step 3: Cross multiply
    73,709.65x = 101,719.35 × 41,878.60
  4. Step 4: Simplify right side
    73,709.65x = 4,259,863,970.91
  5. Step 5: Solve for x
    x = 4,259,863,970.91/73,709.65
  6. Step 6: Final answer
    x = 57,792.49

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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.