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Finding the Fourth Proportional to 76,577.29, 114,850.79 and 72,779.76

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Solution

The fourth proportional to 76,577.29, 114,850.79 and 72,779.76 is: 109,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,577.29 : 114,850.79 = 72,779.76 : x
  2. Step 2: Convert to fraction form
    76,577.29/114,850.79 = 72,779.76/x
  3. Step 3: Cross multiply
    76,577.29x = 114,850.79 × 72,779.76
  4. Step 4: Simplify right side
    76,577.29x = 8,358,812,927.40
  5. Step 5: Solve for x
    x = 8,358,812,927.40/76,577.29
  6. Step 6: Final answer
    x = 109,155.25

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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.