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Finding the Fourth Proportional to 47,401.92, 65,412 and 26,180.64

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Solution

The fourth proportional to 47,401.92, 65,412 and 26,180.64 is: 36,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,401.92 : 65,412 = 26,180.64 : x
  2. Step 2: Convert to fraction form
    47,401.92/65,412 = 26,180.64/x
  3. Step 3: Cross multiply
    47,401.92x = 65,412 × 26,180.64
  4. Step 4: Simplify right side
    47,401.92x = 1,712,528,023.68
  5. Step 5: Solve for x
    x = 1,712,528,023.68/47,401.92
  6. Step 6: Final answer
    x = 36,127.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.