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Finding the Fourth Proportional to 77,185.64, 115,814.46 and 27,303.50

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Solution

The fourth proportional to 77,185.64, 115,814.46 and 27,303.50 is: 40,967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,185.64 : 115,814.46 = 27,303.50 : x
  2. Step 2: Convert to fraction form
    77,185.64/115,814.46 = 27,303.50/x
  3. Step 3: Cross multiply
    77,185.64x = 115,814.46 × 27,303.50
  4. Step 4: Simplify right side
    77,185.64x = 3,162,140,108.61
  5. Step 5: Solve for x
    x = 3,162,140,108.61/77,185.64
  6. Step 6: Final answer
    x = 40,967.98

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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.