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Finding the Fourth Proportional to 48,012.86, 66,263.73 and 27,865.40

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Solution

The fourth proportional to 48,012.86, 66,263.73 and 27,865.40 is: 38,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,012.86 : 66,263.73 = 27,865.40 : x
  2. Step 2: Convert to fraction form
    48,012.86/66,263.73 = 27,865.40/x
  3. Step 3: Cross multiply
    48,012.86x = 66,263.73 × 27,865.40
  4. Step 4: Simplify right side
    48,012.86x = 1,846,465,341.94
  5. Step 5: Solve for x
    x = 1,846,465,341.94/48,012.86
  6. Step 6: Final answer
    x = 38,457.72

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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.