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Finding the Fourth Proportional to 76,580.64, 114,827.76 and 29,779.92

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Solution

The fourth proportional to 76,580.64, 114,827.76 and 29,779.92 is: 44,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,580.64 : 114,827.76 = 29,779.92 : x
  2. Step 2: Convert to fraction form
    76,580.64/114,827.76 = 29,779.92/x
  3. Step 3: Cross multiply
    76,580.64x = 114,827.76 × 29,779.92
  4. Step 4: Simplify right side
    76,580.64x = 3,419,561,506.58
  5. Step 5: Solve for x
    x = 3,419,561,506.58/76,580.64
  6. Step 6: Final answer
    x = 44,653.08

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Why These Related Problems?

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