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Finding the Fourth Proportional to 72,865.40, 109,298.10 and 41,703.80

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Solution

The fourth proportional to 72,865.40, 109,298.10 and 41,703.80 is: 62,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,865.40 : 109,298.10 = 41,703.80 : x
  2. Step 2: Convert to fraction form
    72,865.40/109,298.10 = 41,703.80/x
  3. Step 3: Cross multiply
    72,865.40x = 109,298.10 × 41,703.80
  4. Step 4: Simplify right side
    72,865.40x = 4,558,146,102.78
  5. Step 5: Solve for x
    x = 4,558,146,102.78/72,865.40
  6. Step 6: Final answer
    x = 62,555.70

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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.