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Finding the Fourth Proportional to 95,706, 143,582.16 and 30,042

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Solution

The fourth proportional to 95,706, 143,582.16 and 30,042 is: 45,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,706 : 143,582.16 = 30,042 : x
  2. Step 2: Convert to fraction form
    95,706/143,582.16 = 30,042/x
  3. Step 3: Cross multiply
    95,706x = 143,582.16 × 30,042
  4. Step 4: Simplify right side
    95,706x = 4,313,495,250.72
  5. Step 5: Solve for x
    x = 4,313,495,250.72/95,706
  6. Step 6: Final answer
    x = 45,070.27

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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.