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Finding the Fourth Proportional to 78,622.50, 108,495.80 and 42,812.43

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Solution

The fourth proportional to 78,622.50, 108,495.80 and 42,812.43 is: 59,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,622.50 : 108,495.80 = 42,812.43 : x
  2. Step 2: Convert to fraction form
    78,622.50/108,495.80 = 42,812.43/x
  3. Step 3: Cross multiply
    78,622.50x = 108,495.80 × 42,812.43
  4. Step 4: Simplify right side
    78,622.50x = 4,644,968,628.73
  5. Step 5: Solve for x
    x = 4,644,968,628.73/78,622.50
  6. Step 6: Final answer
    x = 59,079.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.