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Finding the Fourth Proportional to 115,201.30, 172,801.95 and 32,095.30

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Solution

The fourth proportional to 115,201.30, 172,801.95 and 32,095.30 is: 48,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,201.30 : 172,801.95 = 32,095.30 : x
  2. Step 2: Convert to fraction form
    115,201.30/172,801.95 = 32,095.30/x
  3. Step 3: Cross multiply
    115,201.30x = 172,801.95 × 32,095.30
  4. Step 4: Simplify right side
    115,201.30x = 5,546,130,425.84
  5. Step 5: Solve for x
    x = 5,546,130,425.84/115,201.30
  6. Step 6: Final answer
    x = 48,142.95

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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.