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Finding the Fourth Proportional to 48,646.10, 72,949.62 and 23,678.87

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Solution

The fourth proportional to 48,646.10, 72,949.62 and 23,678.87 is: 35,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,646.10 : 72,949.62 = 23,678.87 : x
  2. Step 2: Convert to fraction form
    48,646.10/72,949.62 = 23,678.87/x
  3. Step 3: Cross multiply
    48,646.10x = 72,949.62 × 23,678.87
  4. Step 4: Simplify right side
    48,646.10x = 1,727,364,568.53
  5. Step 5: Solve for x
    x = 1,727,364,568.53/48,646.10
  6. Step 6: Final answer
    x = 35,508.80

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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.