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Finding the Fourth Proportional to 25,518, 38,277.48 and 7,050.48

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Solution

The fourth proportional to 25,518, 38,277.48 and 7,050.48 is: 10,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,518 : 38,277.48 = 7,050.48 : x
  2. Step 2: Convert to fraction form
    25,518/38,277.48 = 7,050.48/x
  3. Step 3: Cross multiply
    25,518x = 38,277.48 × 7,050.48
  4. Step 4: Simplify right side
    25,518x = 269,874,607.19
  5. Step 5: Solve for x
    x = 269,874,607.19/25,518
  6. Step 6: Final answer
    x = 10,575.85

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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.