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Finding the Fourth Proportional to 46,567, 64,262.58 and 25,346.44

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Solution

The fourth proportional to 46,567, 64,262.58 and 25,346.44 is: 34,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,567 : 64,262.58 = 25,346.44 : x
  2. Step 2: Convert to fraction form
    46,567/64,262.58 = 25,346.44/x
  3. Step 3: Cross multiply
    46,567x = 64,262.58 × 25,346.44
  4. Step 4: Simplify right side
    46,567x = 1,628,827,628.22
  5. Step 5: Solve for x
    x = 1,628,827,628.22/46,567
  6. Step 6: Final answer
    x = 34,978.15

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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.