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Finding the Fourth Proportional to 77,671.31, 116,505.77 and 34,946.56

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Solution

The fourth proportional to 77,671.31, 116,505.77 and 34,946.56 is: 52,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,671.31 : 116,505.77 = 34,946.56 : x
  2. Step 2: Convert to fraction form
    77,671.31/116,505.77 = 34,946.56/x
  3. Step 3: Cross multiply
    77,671.31x = 116,505.77 × 34,946.56
  4. Step 4: Simplify right side
    77,671.31x = 4,071,475,881.65
  5. Step 5: Solve for x
    x = 4,071,475,881.65/77,671.31
  6. Step 6: Final answer
    x = 52,419.30

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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.