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Finding the Fourth Proportional to 78,762.25, 118,198.10 and 32,015.17

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Solution

The fourth proportional to 78,762.25, 118,198.10 and 32,015.17 is: 48,045.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,762.25 : 118,198.10 = 32,015.17 : x
  2. Step 2: Convert to fraction form
    78,762.25/118,198.10 = 32,015.17/x
  3. Step 3: Cross multiply
    78,762.25x = 118,198.10 × 32,015.17
  4. Step 4: Simplify right side
    78,762.25x = 3,784,132,265.18
  5. Step 5: Solve for x
    x = 3,784,132,265.18/78,762.25
  6. Step 6: Final answer
    x = 48,045.00

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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.