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Finding the Fourth Proportional to 78,015.80, 116,829.30 and 62,463.80

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Solution

The fourth proportional to 78,015.80, 116,829.30 and 62,463.80 is: 93,540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015.80 : 116,829.30 = 62,463.80 : x
  2. Step 2: Convert to fraction form
    78,015.80/116,829.30 = 62,463.80/x
  3. Step 3: Cross multiply
    78,015.80x = 116,829.30 × 62,463.80
  4. Step 4: Simplify right side
    78,015.80x = 7,297,602,029.34
  5. Step 5: Solve for x
    x = 7,297,602,029.34/78,015.80
  6. Step 6: Final answer
    x = 93,540.05

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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.