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Finding the Fourth Proportional to 25,562.50, 38,349.84 and 8,032.32

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Solution

The fourth proportional to 25,562.50, 38,349.84 and 8,032.32 is: 12,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,562.50 : 38,349.84 = 8,032.32 : x
  2. Step 2: Convert to fraction form
    25,562.50/38,349.84 = 8,032.32/x
  3. Step 3: Cross multiply
    25,562.50x = 38,349.84 × 8,032.32
  4. Step 4: Simplify right side
    25,562.50x = 308,038,186.83
  5. Step 5: Solve for x
    x = 308,038,186.83/25,562.50
  6. Step 6: Final answer
    x = 12,050.39

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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.