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Finding the Fourth Proportional to 45,699, 63,073.26 and 25,827

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Solution

The fourth proportional to 45,699, 63,073.26 and 25,827 is: 35,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,699 : 63,073.26 = 25,827 : x
  2. Step 2: Convert to fraction form
    45,699/63,073.26 = 25,827/x
  3. Step 3: Cross multiply
    45,699x = 63,073.26 × 25,827
  4. Step 4: Simplify right side
    45,699x = 1,628,993,086.02
  5. Step 5: Solve for x
    x = 1,628,993,086.02/45,699
  6. Step 6: Final answer
    x = 35,646.14

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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.