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Finding the Fourth Proportional to 32,505.93, 48,729.73 and 12,798.02

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Solution

The fourth proportional to 32,505.93, 48,729.73 and 12,798.02 is: 19,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505.93 : 48,729.73 = 12,798.02 : x
  2. Step 2: Convert to fraction form
    32,505.93/48,729.73 = 12,798.02/x
  3. Step 3: Cross multiply
    32,505.93x = 48,729.73 × 12,798.02
  4. Step 4: Simplify right side
    32,505.93x = 623,644,059.13
  5. Step 5: Solve for x
    x = 623,644,059.13/32,505.93
  6. Step 6: Final answer
    x = 19,185.55

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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.