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Finding the Fourth Proportional to 46,971.91, 64,819.20 and 28,119.43

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Solution

The fourth proportional to 46,971.91, 64,819.20 and 28,119.43 is: 38,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,971.91 : 64,819.20 = 28,119.43 : x
  2. Step 2: Convert to fraction form
    46,971.91/64,819.20 = 28,119.43/x
  3. Step 3: Cross multiply
    46,971.91x = 64,819.20 × 28,119.43
  4. Step 4: Simplify right side
    46,971.91x = 1,822,678,957.06
  5. Step 5: Solve for x
    x = 1,822,678,957.06/46,971.91
  6. Step 6: Final answer
    x = 38,803.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.