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Finding the Fourth Proportional to 47,390.71, 71,086.16 and 12,330.31

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Solution

The fourth proportional to 47,390.71, 71,086.16 and 12,330.31 is: 18,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,390.71 : 71,086.16 = 12,330.31 : x
  2. Step 2: Convert to fraction form
    47,390.71/71,086.16 = 12,330.31/x
  3. Step 3: Cross multiply
    47,390.71x = 71,086.16 × 12,330.31
  4. Step 4: Simplify right side
    47,390.71x = 876,514,389.51
  5. Step 5: Solve for x
    x = 876,514,389.51/47,390.71
  6. Step 6: Final answer
    x = 18,495.49

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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.