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Finding the Fourth Proportional to 43,602.16, 65,403.24 and 12,437.52

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Solution

The fourth proportional to 43,602.16, 65,403.24 and 12,437.52 is: 18,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,602.16 : 65,403.24 = 12,437.52 : x
  2. Step 2: Convert to fraction form
    43,602.16/65,403.24 = 12,437.52/x
  3. Step 3: Cross multiply
    43,602.16x = 65,403.24 × 12,437.52
  4. Step 4: Simplify right side
    43,602.16x = 813,454,105.56
  5. Step 5: Solve for x
    x = 813,454,105.56/43,602.16
  6. Step 6: Final answer
    x = 18,656.28

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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.