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Finding the Fourth Proportional to 51,474, 70,985.52 and 33,582.72

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Solution

The fourth proportional to 51,474, 70,985.52 and 33,582.72 is: 46,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,474 : 70,985.52 = 33,582.72 : x
  2. Step 2: Convert to fraction form
    51,474/70,985.52 = 33,582.72/x
  3. Step 3: Cross multiply
    51,474x = 70,985.52 × 33,582.72
  4. Step 4: Simplify right side
    51,474x = 2,383,886,842.21
  5. Step 5: Solve for x
    x = 2,383,886,842.21/51,474
  6. Step 6: Final answer
    x = 46,312.45

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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.