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Finding the Fourth Proportional to 48,415.04, 66,784.82 and 28,270.02

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Solution

The fourth proportional to 48,415.04, 66,784.82 and 28,270.02 is: 38,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,415.04 : 66,784.82 = 28,270.02 : x
  2. Step 2: Convert to fraction form
    48,415.04/66,784.82 = 28,270.02/x
  3. Step 3: Cross multiply
    48,415.04x = 66,784.82 × 28,270.02
  4. Step 4: Simplify right side
    48,415.04x = 1,888,008,197.10
  5. Step 5: Solve for x
    x = 1,888,008,197.10/48,415.04
  6. Step 6: Final answer
    x = 38,996.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.