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Finding the Fourth Proportional to 25,627.50, 38,444.49 and 7,159.50

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Solution

The fourth proportional to 25,627.50, 38,444.49 and 7,159.50 is: 10,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,627.50 : 38,444.49 = 7,159.50 : x
  2. Step 2: Convert to fraction form
    25,627.50/38,444.49 = 7,159.50/x
  3. Step 3: Cross multiply
    25,627.50x = 38,444.49 × 7,159.50
  4. Step 4: Simplify right side
    25,627.50x = 275,243,326.16
  5. Step 5: Solve for x
    x = 275,243,326.16/25,627.50
  6. Step 6: Final answer
    x = 10,740.16

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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.