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Finding the Fourth Proportional to 37,516.50, 56,276.64 and 11,221.47

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Solution

The fourth proportional to 37,516.50, 56,276.64 and 11,221.47 is: 16,832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,516.50 : 56,276.64 = 11,221.47 : x
  2. Step 2: Convert to fraction form
    37,516.50/56,276.64 = 11,221.47/x
  3. Step 3: Cross multiply
    37,516.50x = 56,276.64 × 11,221.47
  4. Step 4: Simplify right side
    37,516.50x = 631,506,627.46
  5. Step 5: Solve for x
    x = 631,506,627.46/37,516.50
  6. Step 6: Final answer
    x = 16,832.77

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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.