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Finding the Fourth Proportional to 47,656.54, 71,411.91 and 25,473.07

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Solution

The fourth proportional to 47,656.54, 71,411.91 and 25,473.07 is: 38,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,656.54 : 71,411.91 = 25,473.07 : x
  2. Step 2: Convert to fraction form
    47,656.54/71,411.91 = 25,473.07/x
  3. Step 3: Cross multiply
    47,656.54x = 71,411.91 × 25,473.07
  4. Step 4: Simplify right side
    47,656.54x = 1,819,080,582.26
  5. Step 5: Solve for x
    x = 1,819,080,582.26/47,656.54
  6. Step 6: Final answer
    x = 38,170.64

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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.