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Finding the Fourth Proportional to 70,245.64, 96,894.66 and 49,017.16

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Solution

The fourth proportional to 70,245.64, 96,894.66 and 49,017.16 is: 67,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,245.64 : 96,894.66 = 49,017.16 : x
  2. Step 2: Convert to fraction form
    70,245.64/96,894.66 = 49,017.16/x
  3. Step 3: Cross multiply
    70,245.64x = 96,894.66 × 49,017.16
  4. Step 4: Simplify right side
    70,245.64x = 4,749,501,052.37
  5. Step 5: Solve for x
    x = 4,749,501,052.37/70,245.64
  6. Step 6: Final answer
    x = 67,612.75

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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.