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Finding the Fourth Proportional to 77,978.50, 116,982.16 and 24,683.90

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Solution

The fourth proportional to 77,978.50, 116,982.16 and 24,683.90 is: 37,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,978.50 : 116,982.16 = 24,683.90 : x
  2. Step 2: Convert to fraction form
    77,978.50/116,982.16 = 24,683.90/x
  3. Step 3: Cross multiply
    77,978.50x = 116,982.16 × 24,683.90
  4. Step 4: Simplify right side
    77,978.50x = 2,887,575,939.22
  5. Step 5: Solve for x
    x = 2,887,575,939.22/77,978.50
  6. Step 6: Final answer
    x = 37,030.41

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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.