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Finding the Fourth Proportional to 47,005.85, 70,515.36 and 13,728.35

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Solution

The fourth proportional to 47,005.85, 70,515.36 and 13,728.35 is: 20,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,005.85 : 70,515.36 = 13,728.35 : x
  2. Step 2: Convert to fraction form
    47,005.85/70,515.36 = 13,728.35/x
  3. Step 3: Cross multiply
    47,005.85x = 70,515.36 × 13,728.35
  4. Step 4: Simplify right side
    47,005.85x = 968,059,718.74
  5. Step 5: Solve for x
    x = 968,059,718.74/47,005.85
  6. Step 6: Final answer
    x = 20,594.45

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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.