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Finding the Fourth Proportional to 76,771.34, 105,947.72 and 42,779.86

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Solution

The fourth proportional to 76,771.34, 105,947.72 and 42,779.86 is: 59,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,771.34 : 105,947.72 = 42,779.86 : x
  2. Step 2: Convert to fraction form
    76,771.34/105,947.72 = 42,779.86/x
  3. Step 3: Cross multiply
    76,771.34x = 105,947.72 × 42,779.86
  4. Step 4: Simplify right side
    76,771.34x = 4,532,429,147.17
  5. Step 5: Solve for x
    x = 4,532,429,147.17/76,771.34
  6. Step 6: Final answer
    x = 59,038.04

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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.