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Finding the Fourth Proportional to 103,783.80, 155,654.10 and 28,884.60

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Solution

The fourth proportional to 103,783.80, 155,654.10 and 28,884.60 is: 43,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,783.80 : 155,654.10 = 28,884.60 : x
  2. Step 2: Convert to fraction form
    103,783.80/155,654.10 = 28,884.60/x
  3. Step 3: Cross multiply
    103,783.80x = 155,654.10 × 28,884.60
  4. Step 4: Simplify right side
    103,783.80x = 4,496,006,416.86
  5. Step 5: Solve for x
    x = 4,496,006,416.86/103,783.80
  6. Step 6: Final answer
    x = 43,320.89

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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.