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Finding the Fourth Proportional to 72,585.41, 108,893.67 and 25,202

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Solution

The fourth proportional to 72,585.41, 108,893.67 and 25,202 is: 37,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,585.41 : 108,893.67 = 25,202 : x
  2. Step 2: Convert to fraction form
    72,585.41/108,893.67 = 25,202/x
  3. Step 3: Cross multiply
    72,585.41x = 108,893.67 × 25,202
  4. Step 4: Simplify right side
    72,585.41x = 2,744,338,271.34
  5. Step 5: Solve for x
    x = 2,744,338,271.34/72,585.41
  6. Step 6: Final answer
    x = 37,808.40

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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.