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Finding the Fourth Proportional to 77,690.67, 116,349.08 and 52,654.77

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Solution

The fourth proportional to 77,690.67, 116,349.08 and 52,654.77 is: 78,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,690.67 : 116,349.08 = 52,654.77 : x
  2. Step 2: Convert to fraction form
    77,690.67/116,349.08 = 52,654.77/x
  3. Step 3: Cross multiply
    77,690.67x = 116,349.08 × 52,654.77
  4. Step 4: Simplify right side
    77,690.67x = 6,126,333,783.84
  5. Step 5: Solve for x
    x = 6,126,333,783.84/77,690.67
  6. Step 6: Final answer
    x = 78,855.46

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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.