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Finding the Fourth Proportional to 32,695.76, 48,963 and 18,802.64

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Solution

The fourth proportional to 32,695.76, 48,963 and 18,802.64 is: 28,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,695.76 : 48,963 = 18,802.64 : x
  2. Step 2: Convert to fraction form
    32,695.76/48,963 = 18,802.64/x
  3. Step 3: Cross multiply
    32,695.76x = 48,963 × 18,802.64
  4. Step 4: Simplify right side
    32,695.76x = 920,633,662.32
  5. Step 5: Solve for x
    x = 920,633,662.32/32,695.76
  6. Step 6: Final answer
    x = 28,157.59

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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.