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Finding the Fourth Proportional to 78,833.70, 118,214.10 and 34,437.60

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Solution

The fourth proportional to 78,833.70, 118,214.10 and 34,437.60 is: 51,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,833.70 : 118,214.10 = 34,437.60 : x
  2. Step 2: Convert to fraction form
    78,833.70/118,214.10 = 34,437.60/x
  3. Step 3: Cross multiply
    78,833.70x = 118,214.10 × 34,437.60
  4. Step 4: Simplify right side
    78,833.70x = 4,071,009,890.16
  5. Step 5: Solve for x
    x = 4,071,009,890.16/78,833.70
  6. Step 6: Final answer
    x = 51,640.48

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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.