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Finding the Fourth Proportional to 48,406.68, 72,583.74 and 15,117.66

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Solution

The fourth proportional to 48,406.68, 72,583.74 and 15,117.66 is: 22,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,406.68 : 72,583.74 = 15,117.66 : x
  2. Step 2: Convert to fraction form
    48,406.68/72,583.74 = 15,117.66/x
  3. Step 3: Cross multiply
    48,406.68x = 72,583.74 × 15,117.66
  4. Step 4: Simplify right side
    48,406.68x = 1,097,296,302.85
  5. Step 5: Solve for x
    x = 1,097,296,302.85/48,406.68
  6. Step 6: Final answer
    x = 22,668.28

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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.