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Finding the Fourth Proportional to 48,731.60, 65,839.50 and 48,731.60

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Solution

The fourth proportional to 48,731.60, 65,839.50 and 48,731.60 is: 65,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,731.60 : 65,839.50 = 48,731.60 : x
  2. Step 2: Convert to fraction form
    48,731.60/65,839.50 = 48,731.60/x
  3. Step 3: Cross multiply
    48,731.60x = 65,839.50 × 48,731.60
  4. Step 4: Simplify right side
    48,731.60x = 3,208,464,178.20
  5. Step 5: Solve for x
    x = 3,208,464,178.20/48,731.60
  6. Step 6: Final answer
    x = 65,839.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.