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Finding the Fourth Proportional to 52,641.68, 72,636.36 and 31,419.68

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Solution

The fourth proportional to 52,641.68, 72,636.36 and 31,419.68 is: 43,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,641.68 : 72,636.36 = 31,419.68 : x
  2. Step 2: Convert to fraction form
    52,641.68/72,636.36 = 31,419.68/x
  3. Step 3: Cross multiply
    52,641.68x = 72,636.36 × 31,419.68
  4. Step 4: Simplify right side
    52,641.68x = 2,282,211,187.56
  5. Step 5: Solve for x
    x = 2,282,211,187.56/52,641.68
  6. Step 6: Final answer
    x = 43,353.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.