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Finding the Fourth Proportional to 97,423.19, 146,140.30 and 27,307.97

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Solution

The fourth proportional to 97,423.19, 146,140.30 and 27,307.97 is: 40,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,423.19 : 146,140.30 = 27,307.97 : x
  2. Step 2: Convert to fraction form
    97,423.19/146,140.30 = 27,307.97/x
  3. Step 3: Cross multiply
    97,423.19x = 146,140.30 × 27,307.97
  4. Step 4: Simplify right side
    97,423.19x = 3,990,794,779.65
  5. Step 5: Solve for x
    x = 3,990,794,779.65/97,423.19
  6. Step 6: Final answer
    x = 40,963.50

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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.