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Finding the Fourth Proportional to 95,319, 142,988.22 and 32,989.32

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Solution

The fourth proportional to 95,319, 142,988.22 and 32,989.32 is: 49,487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,319 : 142,988.22 = 32,989.32 : x
  2. Step 2: Convert to fraction form
    95,319/142,988.22 = 32,989.32/x
  3. Step 3: Cross multiply
    95,319x = 142,988.22 × 32,989.32
  4. Step 4: Simplify right side
    95,319x = 4,717,084,145.81
  5. Step 5: Solve for x
    x = 4,717,084,145.81/95,319
  6. Step 6: Final answer
    x = 49,487.34

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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.