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Finding the Fourth Proportional to 70,189.62, 96,830.58 and 41,878.86

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Solution

The fourth proportional to 70,189.62, 96,830.58 and 41,878.86 is: 57,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,189.62 : 96,830.58 = 41,878.86 : x
  2. Step 2: Convert to fraction form
    70,189.62/96,830.58 = 41,878.86/x
  3. Step 3: Cross multiply
    70,189.62x = 96,830.58 × 41,878.86
  4. Step 4: Simplify right side
    70,189.62x = 4,055,154,303.54
  5. Step 5: Solve for x
    x = 4,055,154,303.54/70,189.62
  6. Step 6: Final answer
    x = 57,774.27

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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.