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Finding the Fourth Proportional to 47,098.83, 64,967.61 and 27,965.64

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Solution

The fourth proportional to 47,098.83, 64,967.61 and 27,965.64 is: 38,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,098.83 : 64,967.61 = 27,965.64 : x
  2. Step 2: Convert to fraction form
    47,098.83/64,967.61 = 27,965.64/x
  3. Step 3: Cross multiply
    47,098.83x = 64,967.61 × 27,965.64
  4. Step 4: Simplify right side
    47,098.83x = 1,816,860,792.92
  5. Step 5: Solve for x
    x = 1,816,860,792.92/47,098.83
  6. Step 6: Final answer
    x = 38,575.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.