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Finding the Fourth Proportional to 45,830, 63,245.40 and 25,958

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Solution

The fourth proportional to 45,830, 63,245.40 and 25,958 is: 35,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,830 : 63,245.40 = 25,958 : x
  2. Step 2: Convert to fraction form
    45,830/63,245.40 = 25,958/x
  3. Step 3: Cross multiply
    45,830x = 63,245.40 × 25,958
  4. Step 4: Simplify right side
    45,830x = 1,641,724,093.20
  5. Step 5: Solve for x
    x = 1,641,724,093.20/45,830
  6. Step 6: Final answer
    x = 35,822.04

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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.