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Finding the Fourth Proportional to 97,253.88, 145,880.82 and 30,699.20

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Solution

The fourth proportional to 97,253.88, 145,880.82 and 30,699.20 is: 46,048.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,253.88 : 145,880.82 = 30,699.20 : x
  2. Step 2: Convert to fraction form
    97,253.88/145,880.82 = 30,699.20/x
  3. Step 3: Cross multiply
    97,253.88x = 145,880.82 × 30,699.20
  4. Step 4: Simplify right side
    97,253.88x = 4,478,424,469.34
  5. Step 5: Solve for x
    x = 4,478,424,469.34/97,253.88
  6. Step 6: Final answer
    x = 46,048.80

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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.