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Finding the Fourth Proportional to 115,225.89, 172,864.21 and 35,264.48

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Solution

The fourth proportional to 115,225.89, 172,864.21 and 35,264.48 is: 52,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,225.89 : 172,864.21 = 35,264.48 : x
  2. Step 2: Convert to fraction form
    115,225.89/172,864.21 = 35,264.48/x
  3. Step 3: Cross multiply
    115,225.89x = 172,864.21 × 35,264.48
  4. Step 4: Simplify right side
    115,225.89x = 6,095,965,611.94
  5. Step 5: Solve for x
    x = 6,095,965,611.94/115,225.89
  6. Step 6: Final answer
    x = 52,904.48

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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.