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Finding the Fourth Proportional to 47,358, 70,941 and 22,022.04

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Solution

The fourth proportional to 47,358, 70,941 and 22,022.04 is: 32,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,358 : 70,941 = 22,022.04 : x
  2. Step 2: Convert to fraction form
    47,358/70,941 = 22,022.04/x
  3. Step 3: Cross multiply
    47,358x = 70,941 × 22,022.04
  4. Step 4: Simplify right side
    47,358x = 1,562,265,539.64
  5. Step 5: Solve for x
    x = 1,562,265,539.64/47,358
  6. Step 6: Final answer
    x = 32,988.42

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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.