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Finding the Fourth Proportional to 47,130.12, 65,042.34 and 25,909.32

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Solution

The fourth proportional to 47,130.12, 65,042.34 and 25,909.32 is: 35,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,130.12 : 65,042.34 = 25,909.32 : x
  2. Step 2: Convert to fraction form
    47,130.12/65,042.34 = 25,909.32/x
  3. Step 3: Cross multiply
    47,130.12x = 65,042.34 × 25,909.32
  4. Step 4: Simplify right side
    47,130.12x = 1,685,202,800.61
  5. Step 5: Solve for x
    x = 1,685,202,800.61/47,130.12
  6. Step 6: Final answer
    x = 35,756.39

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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.