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Finding the Fourth Proportional to 106,184, 159,276 and 32,312

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Solution

The fourth proportional to 106,184, 159,276 and 32,312 is: 48,468

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,184 : 159,276 = 32,312 : x
  2. Step 2: Convert to fraction form
    106,184/159,276 = 32,312/x
  3. Step 3: Cross multiply
    106,184x = 159,276 × 32,312
  4. Step 4: Simplify right side
    106,184x = 5,146,526,112
  5. Step 5: Solve for x
    x = 5,146,526,112/106,184
  6. Step 6: Final answer
    x = 48,468

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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.