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Finding the Fourth Proportional to 74,390.63, 102,659.06 and 40,856.63

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Solution

The fourth proportional to 74,390.63, 102,659.06 and 40,856.63 is: 56,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,390.63 : 102,659.06 = 40,856.63 : x
  2. Step 2: Convert to fraction form
    74,390.63/102,659.06 = 40,856.63/x
  3. Step 3: Cross multiply
    74,390.63x = 102,659.06 × 40,856.63
  4. Step 4: Simplify right side
    74,390.63x = 4,194,302,819.41
  5. Step 5: Solve for x
    x = 4,194,302,819.41/74,390.63
  6. Step 6: Final answer
    x = 56,382.14

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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.