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Finding the Fourth Proportional to 70,634, 97,394.76 and 45,106.64

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Solution

The fourth proportional to 70,634, 97,394.76 and 45,106.64 is: 62,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,634 : 97,394.76 = 45,106.64 : x
  2. Step 2: Convert to fraction form
    70,634/97,394.76 = 45,106.64/x
  3. Step 3: Cross multiply
    70,634x = 97,394.76 × 45,106.64
  4. Step 4: Simplify right side
    70,634x = 4,393,150,377.21
  5. Step 5: Solve for x
    x = 4,393,150,377.21/70,634
  6. Step 6: Final answer
    x = 62,195.97

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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.