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Finding the Fourth Proportional to 77,977.86, 116,946.02 and 21,814.50

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Solution

The fourth proportional to 77,977.86, 116,946.02 and 21,814.50 is: 32,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,977.86 : 116,946.02 = 21,814.50 : x
  2. Step 2: Convert to fraction form
    77,977.86/116,946.02 = 21,814.50/x
  3. Step 3: Cross multiply
    77,977.86x = 116,946.02 × 21,814.50
  4. Step 4: Simplify right side
    77,977.86x = 2,551,118,953.29
  5. Step 5: Solve for x
    x = 2,551,118,953.29/77,977.86
  6. Step 6: Final answer
    x = 32,715.94

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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.