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Finding the Fourth Proportional to 56,502.32, 77,975.65 and 33,845

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Solution

The fourth proportional to 56,502.32, 77,975.65 and 33,845 is: 46,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,502.32 : 77,975.65 = 33,845 : x
  2. Step 2: Convert to fraction form
    56,502.32/77,975.65 = 33,845/x
  3. Step 3: Cross multiply
    56,502.32x = 77,975.65 × 33,845
  4. Step 4: Simplify right side
    56,502.32x = 2,639,085,705.03
  5. Step 5: Solve for x
    x = 2,639,085,705.03/56,502.32
  6. Step 6: Final answer
    x = 46,707.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.