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Finding the Fourth Proportional to 97,437.91, 146,101.05 and 29,952.37

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Solution

The fourth proportional to 97,437.91, 146,101.05 and 29,952.37 is: 44,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,437.91 : 146,101.05 = 29,952.37 : x
  2. Step 2: Convert to fraction form
    97,437.91/146,101.05 = 29,952.37/x
  3. Step 3: Cross multiply
    97,437.91x = 146,101.05 × 29,952.37
  4. Step 4: Simplify right side
    97,437.91x = 4,376,072,706.99
  5. Step 5: Solve for x
    x = 4,376,072,706.99/97,437.91
  6. Step 6: Final answer
    x = 44,911.40

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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.