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Finding the Fourth Proportional to 25,303.86, 37,949.24 and 7,530.35

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Solution

The fourth proportional to 25,303.86, 37,949.24 and 7,530.35 is: 11,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,303.86 : 37,949.24 = 7,530.35 : x
  2. Step 2: Convert to fraction form
    25,303.86/37,949.24 = 7,530.35/x
  3. Step 3: Cross multiply
    25,303.86x = 37,949.24 × 7,530.35
  4. Step 4: Simplify right side
    25,303.86x = 285,770,888.51
  5. Step 5: Solve for x
    x = 285,770,888.51/25,303.86
  6. Step 6: Final answer
    x = 11,293.57

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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.