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Finding the Fourth Proportional to 33,565, 46,319.74 and 18,457.92

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Solution

The fourth proportional to 33,565, 46,319.74 and 18,457.92 is: 25,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,565 : 46,319.74 = 18,457.92 : x
  2. Step 2: Convert to fraction form
    33,565/46,319.74 = 18,457.92/x
  3. Step 3: Cross multiply
    33,565x = 46,319.74 × 18,457.92
  4. Step 4: Simplify right side
    33,565x = 854,966,055.34
  5. Step 5: Solve for x
    x = 854,966,055.34/33,565
  6. Step 6: Final answer
    x = 25,471.95

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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.