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Finding the Fourth Proportional to 85,905.92, 128,828.01 and 29,730.79

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Solution

The fourth proportional to 85,905.92, 128,828.01 and 29,730.79 is: 44,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,905.92 : 128,828.01 = 29,730.79 : x
  2. Step 2: Convert to fraction form
    85,905.92/128,828.01 = 29,730.79/x
  3. Step 3: Cross multiply
    85,905.92x = 128,828.01 × 29,730.79
  4. Step 4: Simplify right side
    85,905.92x = 3,830,158,511.43
  5. Step 5: Solve for x
    x = 3,830,158,511.43/85,905.92
  6. Step 6: Final answer
    x = 44,585.50

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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.