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Finding the Fourth Proportional to 32,642.64, 48,963.96 and 10,455.93

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Solution

The fourth proportional to 32,642.64, 48,963.96 and 10,455.93 is: 15,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642.64 : 48,963.96 = 10,455.93 : x
  2. Step 2: Convert to fraction form
    32,642.64/48,963.96 = 10,455.93/x
  3. Step 3: Cross multiply
    32,642.64x = 48,963.96 × 10,455.93
  4. Step 4: Simplify right side
    32,642.64x = 511,963,738.28
  5. Step 5: Solve for x
    x = 511,963,738.28/32,642.64
  6. Step 6: Final answer
    x = 15,683.90

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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.