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Finding the Fourth Proportional to 70,498, 97,295.88 and 40,690

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Solution

The fourth proportional to 70,498, 97,295.88 and 40,690 is: 56,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,498 : 97,295.88 = 40,690 : x
  2. Step 2: Convert to fraction form
    70,498/97,295.88 = 40,690/x
  3. Step 3: Cross multiply
    70,498x = 97,295.88 × 40,690
  4. Step 4: Simplify right side
    70,498x = 3,958,969,357.20
  5. Step 5: Solve for x
    x = 3,958,969,357.20/70,498
  6. Step 6: Final answer
    x = 56,157.19

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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.