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Finding the Fourth Proportional to 47,534.47, 65,578.86 and 30,536.35

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Solution

The fourth proportional to 47,534.47, 65,578.86 and 30,536.35 is: 42,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,534.47 : 65,578.86 = 30,536.35 : x
  2. Step 2: Convert to fraction form
    47,534.47/65,578.86 = 30,536.35/x
  3. Step 3: Cross multiply
    47,534.47x = 65,578.86 × 30,536.35
  4. Step 4: Simplify right side
    47,534.47x = 2,002,539,021.56
  5. Step 5: Solve for x
    x = 2,002,539,021.56/47,534.47
  6. Step 6: Final answer
    x = 42,128.14

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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.