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Finding the Fourth Proportional to 45,978.06, 63,451.60 and 25,834.88

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Solution

The fourth proportional to 45,978.06, 63,451.60 and 25,834.88 is: 35,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,978.06 : 63,451.60 = 25,834.88 : x
  2. Step 2: Convert to fraction form
    45,978.06/63,451.60 = 25,834.88/x
  3. Step 3: Cross multiply
    45,978.06x = 63,451.60 × 25,834.88
  4. Step 4: Simplify right side
    45,978.06x = 1,639,264,471.81
  5. Step 5: Solve for x
    x = 1,639,264,471.81/45,978.06
  6. Step 6: Final answer
    x = 35,653.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.