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Finding the Fourth Proportional to 37,725, 56,595.60 and 12,765.66

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Solution

The fourth proportional to 37,725, 56,595.60 and 12,765.66 is: 19,151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,725 : 56,595.60 = 12,765.66 : x
  2. Step 2: Convert to fraction form
    37,725/56,595.60 = 12,765.66/x
  3. Step 3: Cross multiply
    37,725x = 56,595.60 × 12,765.66
  4. Step 4: Simplify right side
    37,725x = 722,480,187.10
  5. Step 5: Solve for x
    x = 722,480,187.10/37,725
  6. Step 6: Final answer
    x = 19,151.23

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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.