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Finding the Fourth Proportional to 115,236, 172,883.16 and 32,130

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Solution

The fourth proportional to 115,236, 172,883.16 and 32,130 is: 48,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,236 : 172,883.16 = 32,130 : x
  2. Step 2: Convert to fraction form
    115,236/172,883.16 = 32,130/x
  3. Step 3: Cross multiply
    115,236x = 172,883.16 × 32,130
  4. Step 4: Simplify right side
    115,236x = 5,554,735,930.80
  5. Step 5: Solve for x
    x = 5,554,735,930.80/115,236
  6. Step 6: Final answer
    x = 48,203.13

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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.