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Finding the Fourth Proportional to 108,409.60, 162,565.80 and 49,214.80

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Solution

The fourth proportional to 108,409.60, 162,565.80 and 49,214.80 is: 73,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,409.60 : 162,565.80 = 49,214.80 : x
  2. Step 2: Convert to fraction form
    108,409.60/162,565.80 = 49,214.80/x
  3. Step 3: Cross multiply
    108,409.60x = 162,565.80 × 49,214.80
  4. Step 4: Simplify right side
    108,409.60x = 8,000,643,333.84
  5. Step 5: Solve for x
    x = 8,000,643,333.84/108,409.60
  6. Step 6: Final answer
    x = 73,800.14

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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.