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Finding the Fourth Proportional to 115,238, 172,886.16 and 32,132

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Solution

The fourth proportional to 115,238, 172,886.16 and 32,132 is: 48,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,238 : 172,886.16 = 32,132 : x
  2. Step 2: Convert to fraction form
    115,238/172,886.16 = 32,132/x
  3. Step 3: Cross multiply
    115,238x = 172,886.16 × 32,132
  4. Step 4: Simplify right side
    115,238x = 5,555,178,093.12
  5. Step 5: Solve for x
    x = 5,555,178,093.12/115,238
  6. Step 6: Final answer
    x = 48,206.13

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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.