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Finding the Fourth Proportional to 115,201.63, 172,802.31 and 32,095.63

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Solution

The fourth proportional to 115,201.63, 172,802.31 and 32,095.63 is: 48,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,201.63 : 172,802.31 = 32,095.63 : x
  2. Step 2: Convert to fraction form
    115,201.63/172,802.31 = 32,095.63/x
  3. Step 3: Cross multiply
    115,201.63x = 172,802.31 × 32,095.63
  4. Step 4: Simplify right side
    115,201.63x = 5,546,199,004.91
  5. Step 5: Solve for x
    x = 5,546,199,004.91/115,201.63
  6. Step 6: Final answer
    x = 48,143.41

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1.5x scale

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.