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Finding the Fourth Proportional to 76,633.60, 114,950.40 and 37,267.60

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Solution

The fourth proportional to 76,633.60, 114,950.40 and 37,267.60 is: 55,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,633.60 : 114,950.40 = 37,267.60 : x
  2. Step 2: Convert to fraction form
    76,633.60/114,950.40 = 37,267.60/x
  3. Step 3: Cross multiply
    76,633.60x = 114,950.40 × 37,267.60
  4. Step 4: Simplify right side
    76,633.60x = 4,283,925,527.04
  5. Step 5: Solve for x
    x = 4,283,925,527.04/76,633.60
  6. Step 6: Final answer
    x = 55,901.40

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