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Finding the Fourth Proportional to 35,945.64, 53,919 and 12,572.82

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Solution

The fourth proportional to 35,945.64, 53,919 and 12,572.82 is: 18,859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,945.64 : 53,919 = 12,572.82 : x
  2. Step 2: Convert to fraction form
    35,945.64/53,919 = 12,572.82/x
  3. Step 3: Cross multiply
    35,945.64x = 53,919 × 12,572.82
  4. Step 4: Simplify right side
    35,945.64x = 677,913,881.58
  5. Step 5: Solve for x
    x = 677,913,881.58/35,945.64
  6. Step 6: Final answer
    x = 18,859.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.