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Finding the Fourth Proportional to 97,807.99, 146,623.96 and 35,434.75

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Solution

The fourth proportional to 97,807.99, 146,623.96 and 35,434.75 is: 53,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,807.99 : 146,623.96 = 35,434.75 : x
  2. Step 2: Convert to fraction form
    97,807.99/146,623.96 = 35,434.75/x
  3. Step 3: Cross multiply
    97,807.99x = 146,623.96 × 35,434.75
  4. Step 4: Simplify right side
    97,807.99x = 5,195,583,366.61
  5. Step 5: Solve for x
    x = 5,195,583,366.61/97,807.99
  6. Step 6: Final answer
    x = 53,120.23

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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.