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Finding the Fourth Proportional to 48,266.92, 72,410.70 and 14,986.24

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Solution

The fourth proportional to 48,266.92, 72,410.70 and 14,986.24 is: 22,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,266.92 : 72,410.70 = 14,986.24 : x
  2. Step 2: Convert to fraction form
    48,266.92/72,410.70 = 14,986.24/x
  3. Step 3: Cross multiply
    48,266.92x = 72,410.70 × 14,986.24
  4. Step 4: Simplify right side
    48,266.92x = 1,085,164,128.77
  5. Step 5: Solve for x
    x = 1,085,164,128.77/48,266.92
  6. Step 6: Final answer
    x = 22,482.56

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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.