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Finding the Fourth Proportional to 46,451, 64,103.55 and 25,230.26

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Solution

The fourth proportional to 46,451, 64,103.55 and 25,230.26 is: 34,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,451 : 64,103.55 = 25,230.26 : x
  2. Step 2: Convert to fraction form
    46,451/64,103.55 = 25,230.26/x
  3. Step 3: Cross multiply
    46,451x = 64,103.55 × 25,230.26
  4. Step 4: Simplify right side
    46,451x = 1,617,349,233.42
  5. Step 5: Solve for x
    x = 1,617,349,233.42/46,451
  6. Step 6: Final answer
    x = 34,818.39

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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.