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Finding the Fourth Proportional to 51,291.54, 70,784.16 and 29,779.68

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Solution

The fourth proportional to 51,291.54, 70,784.16 and 29,779.68 is: 41,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,291.54 : 70,784.16 = 29,779.68 : x
  2. Step 2: Convert to fraction form
    51,291.54/70,784.16 = 29,779.68/x
  3. Step 3: Cross multiply
    51,291.54x = 70,784.16 × 29,779.68
  4. Step 4: Simplify right side
    51,291.54x = 2,107,929,633.87
  5. Step 5: Solve for x
    x = 2,107,929,633.87/51,291.54
  6. Step 6: Final answer
    x = 41,097.02

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Why These Related Problems?

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