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Finding the Fourth Proportional to 47,005.68, 70,515 and 15,849.84

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Solution

The fourth proportional to 47,005.68, 70,515 and 15,849.84 is: 23,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,005.68 : 70,515 = 15,849.84 : x
  2. Step 2: Convert to fraction form
    47,005.68/70,515 = 15,849.84/x
  3. Step 3: Cross multiply
    47,005.68x = 70,515 × 15,849.84
  4. Step 4: Simplify right side
    47,005.68x = 1,117,651,467.60
  5. Step 5: Solve for x
    x = 1,117,651,467.60/47,005.68
  6. Step 6: Final answer
    x = 23,776.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.