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Finding the Fourth Proportional to 76,106.49, 114,166.47 and 19,946.40

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Solution

The fourth proportional to 76,106.49, 114,166.47 and 19,946.40 is: 29,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,106.49 : 114,166.47 = 19,946.40 : x
  2. Step 2: Convert to fraction form
    76,106.49/114,166.47 = 19,946.40/x
  3. Step 3: Cross multiply
    76,106.49x = 114,166.47 × 19,946.40
  4. Step 4: Simplify right side
    76,106.49x = 2,277,210,077.21
  5. Step 5: Solve for x
    x = 2,277,210,077.21/76,106.49
  6. Step 6: Final answer
    x = 29,921.37

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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.