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Finding the Fourth Proportional to 98,402.80, 135,784.65 and 55,373.98

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Solution

The fourth proportional to 98,402.80, 135,784.65 and 55,373.98 is: 76,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,402.80 : 135,784.65 = 55,373.98 : x
  2. Step 2: Convert to fraction form
    98,402.80/135,784.65 = 55,373.98/x
  3. Step 3: Cross multiply
    98,402.80x = 135,784.65 × 55,373.98
  4. Step 4: Simplify right side
    98,402.80x = 7,518,936,493.41
  5. Step 5: Solve for x
    x = 7,518,936,493.41/98,402.80
  6. Step 6: Final answer
    x = 76,409.78

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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.