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Finding the Fourth Proportional to 58,102.60, 80,219.94 and 44,649.40

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Solution

The fourth proportional to 58,102.60, 80,219.94 and 44,649.40 is: 61,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,102.60 : 80,219.94 = 44,649.40 : x
  2. Step 2: Convert to fraction form
    58,102.60/80,219.94 = 44,649.40/x
  3. Step 3: Cross multiply
    58,102.60x = 80,219.94 × 44,649.40
  4. Step 4: Simplify right side
    58,102.60x = 3,581,772,189.04
  5. Step 5: Solve for x
    x = 3,581,772,189.04/58,102.60
  6. Step 6: Final answer
    x = 61,645.64

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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.