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Finding the Fourth Proportional to 70,994.16, 97,968.15 and 42,346.26

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Solution

The fourth proportional to 70,994.16, 97,968.15 and 42,346.26 is: 58,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,994.16 : 97,968.15 = 42,346.26 : x
  2. Step 2: Convert to fraction form
    70,994.16/97,968.15 = 42,346.26/x
  3. Step 3: Cross multiply
    70,994.16x = 97,968.15 × 42,346.26
  4. Step 4: Simplify right side
    70,994.16x = 4,148,584,751.62
  5. Step 5: Solve for x
    x = 4,148,584,751.62/70,994.16
  6. Step 6: Final answer
    x = 58,435.58

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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.