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Finding the Fourth Proportional to 97,173.94, 145,627.86 and 49,689.71

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Solution

The fourth proportional to 97,173.94, 145,627.86 and 49,689.71 is: 74,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,173.94 : 145,627.86 = 49,689.71 : x
  2. Step 2: Convert to fraction form
    97,173.94/145,627.86 = 49,689.71/x
  3. Step 3: Cross multiply
    97,173.94x = 145,627.86 × 49,689.71
  4. Step 4: Simplify right side
    97,173.94x = 7,236,206,131.32
  5. Step 5: Solve for x
    x = 7,236,206,131.32/97,173.94
  6. Step 6: Final answer
    x = 74,466.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.