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Finding the Fourth Proportional to 25,101.06, 37,645.29 and 10,314.06

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Solution

The fourth proportional to 25,101.06, 37,645.29 and 10,314.06 is: 15,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101.06 : 37,645.29 = 10,314.06 : x
  2. Step 2: Convert to fraction form
    25,101.06/37,645.29 = 10,314.06/x
  3. Step 3: Cross multiply
    25,101.06x = 37,645.29 × 10,314.06
  4. Step 4: Simplify right side
    25,101.06x = 388,275,779.78
  5. Step 5: Solve for x
    x = 388,275,779.78/25,101.06
  6. Step 6: Final answer
    x = 15,468.50

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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.