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Finding the Fourth Proportional to 46,786.22, 64,565.44 and 25,565.94

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Solution

The fourth proportional to 46,786.22, 64,565.44 and 25,565.94 is: 35,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,786.22 : 64,565.44 = 25,565.94 : x
  2. Step 2: Convert to fraction form
    46,786.22/64,565.44 = 25,565.94/x
  3. Step 3: Cross multiply
    46,786.22x = 64,565.44 × 25,565.94
  4. Step 4: Simplify right side
    46,786.22x = 1,650,676,101.20
  5. Step 5: Solve for x
    x = 1,650,676,101.20/46,786.22
  6. Step 6: Final answer
    x = 35,281.25

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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.