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Finding the Fourth Proportional to 48,697.76, 73,048.47 and 13,636.51

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Solution

The fourth proportional to 48,697.76, 73,048.47 and 13,636.51 is: 20,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,697.76 : 73,048.47 = 13,636.51 : x
  2. Step 2: Convert to fraction form
    48,697.76/73,048.47 = 13,636.51/x
  3. Step 3: Cross multiply
    48,697.76x = 73,048.47 × 13,636.51
  4. Step 4: Simplify right side
    48,697.76x = 996,125,957.88
  5. Step 5: Solve for x
    x = 996,125,957.88/48,697.76
  6. Step 6: Final answer
    x = 20,455.27

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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.