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Finding the Fourth Proportional to 97,230.69, 145,846.00 and 23,358.69

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Solution

The fourth proportional to 97,230.69, 145,846.00 and 23,358.69 is: 35,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,230.69 : 145,846.00 = 23,358.69 : x
  2. Step 2: Convert to fraction form
    97,230.69/145,846.00 = 23,358.69/x
  3. Step 3: Cross multiply
    97,230.69x = 145,846.00 × 23,358.69
  4. Step 4: Simplify right side
    97,230.69x = 3,406,771,530.94
  5. Step 5: Solve for x
    x = 3,406,771,530.94/97,230.69
  6. Step 6: Final answer
    x = 35,038.03

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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.