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Finding the Fourth Proportional to 78,409.77, 108,206.64 and 42,600.48

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Solution

The fourth proportional to 78,409.77, 108,206.64 and 42,600.48 is: 58,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,409.77 : 108,206.64 = 42,600.48 : x
  2. Step 2: Convert to fraction form
    78,409.77/108,206.64 = 42,600.48/x
  3. Step 3: Cross multiply
    78,409.77x = 108,206.64 × 42,600.48
  4. Step 4: Simplify right side
    78,409.77x = 4,609,654,803.19
  5. Step 5: Solve for x
    x = 4,609,654,803.19/78,409.77
  6. Step 6: Final answer
    x = 58,789.29

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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.