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Finding the Fourth Proportional to 37,503.52, 56,222.88 and 17,772

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Solution

The fourth proportional to 37,503.52, 56,222.88 and 17,772 is: 26,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,503.52 : 56,222.88 = 17,772 : x
  2. Step 2: Convert to fraction form
    37,503.52/56,222.88 = 17,772/x
  3. Step 3: Cross multiply
    37,503.52x = 56,222.88 × 17,772
  4. Step 4: Simplify right side
    37,503.52x = 999,193,023.36
  5. Step 5: Solve for x
    x = 999,193,023.36/37,503.52
  6. Step 6: Final answer
    x = 26,642.65

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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.