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Finding the Fourth Proportional to 25,052.68, 37,582.68 and 7,523.89

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Solution

The fourth proportional to 25,052.68, 37,582.68 and 7,523.89 is: 11,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,052.68 : 37,582.68 = 7,523.89 : x
  2. Step 2: Convert to fraction form
    25,052.68/37,582.68 = 7,523.89/x
  3. Step 3: Cross multiply
    25,052.68x = 37,582.68 × 7,523.89
  4. Step 4: Simplify right side
    25,052.68x = 282,767,950.23
  5. Step 5: Solve for x
    x = 282,767,950.23/25,052.68
  6. Step 6: Final answer
    x = 11,286.93

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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.