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Finding the Fourth Proportional to 97,205.66, 145,808.48 and 23,333.66

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Solution

The fourth proportional to 97,205.66, 145,808.48 and 23,333.66 is: 35,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,205.66 : 145,808.48 = 23,333.66 : x
  2. Step 2: Convert to fraction form
    97,205.66/145,808.48 = 23,333.66/x
  3. Step 3: Cross multiply
    97,205.66x = 145,808.48 × 23,333.66
  4. Step 4: Simplify right side
    97,205.66x = 3,402,245,497.44
  5. Step 5: Solve for x
    x = 3,402,245,497.44/97,205.66
  6. Step 6: Final answer
    x = 35,000.49

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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.