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Finding the Fourth Proportional to 78,125.10, 117,194.58 and 21,965.70

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Solution

The fourth proportional to 78,125.10, 117,194.58 and 21,965.70 is: 32,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,125.10 : 117,194.58 = 21,965.70 : x
  2. Step 2: Convert to fraction form
    78,125.10/117,194.58 = 21,965.70/x
  3. Step 3: Cross multiply
    78,125.10x = 117,194.58 × 21,965.70
  4. Step 4: Simplify right side
    78,125.10x = 2,574,261,343.01
  5. Step 5: Solve for x
    x = 2,574,261,343.01/78,125.10
  6. Step 6: Final answer
    x = 32,950.50

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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.