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Finding the Fourth Proportional to 48,647.60, 72,971.40 and 31,151.60

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Solution

The fourth proportional to 48,647.60, 72,971.40 and 31,151.60 is: 46,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,647.60 : 72,971.40 = 31,151.60 : x
  2. Step 2: Convert to fraction form
    48,647.60/72,971.40 = 31,151.60/x
  3. Step 3: Cross multiply
    48,647.60x = 72,971.40 × 31,151.60
  4. Step 4: Simplify right side
    48,647.60x = 2,273,175,864.24
  5. Step 5: Solve for x
    x = 2,273,175,864.24/48,647.60
  6. Step 6: Final answer
    x = 46,727.40

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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.