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Finding the Fourth Proportional to 25,032.68, 37,544.23 and 7,502.50

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Solution

The fourth proportional to 25,032.68, 37,544.23 and 7,502.50 is: 11,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,032.68 : 37,544.23 = 7,502.50 : x
  2. Step 2: Convert to fraction form
    25,032.68/37,544.23 = 7,502.50/x
  3. Step 3: Cross multiply
    25,032.68x = 37,544.23 × 7,502.50
  4. Step 4: Simplify right side
    25,032.68x = 281,675,641.88
  5. Step 5: Solve for x
    x = 281,675,641.88/25,032.68
  6. Step 6: Final answer
    x = 11,252.32

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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.