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Finding the Fourth Proportional to 35,830.64, 53,767.56 and 12,473.48

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Solution

The fourth proportional to 35,830.64, 53,767.56 and 12,473.48 is: 18,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.64 : 53,767.56 = 12,473.48 : x
  2. Step 2: Convert to fraction form
    35,830.64/53,767.56 = 12,473.48/x
  3. Step 3: Cross multiply
    35,830.64x = 53,767.56 × 12,473.48
  4. Step 4: Simplify right side
    35,830.64x = 670,668,315.47
  5. Step 5: Solve for x
    x = 670,668,315.47/35,830.64
  6. Step 6: Final answer
    x = 18,717.73

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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.