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Finding the Fourth Proportional to 53,744.94, 74,164.59 and 29,870.16

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Solution

The fourth proportional to 53,744.94, 74,164.59 and 29,870.16 is: 41,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,744.94 : 74,164.59 = 29,870.16 : x
  2. Step 2: Convert to fraction form
    53,744.94/74,164.59 = 29,870.16/x
  3. Step 3: Cross multiply
    53,744.94x = 74,164.59 × 29,870.16
  4. Step 4: Simplify right side
    53,744.94x = 2,215,308,169.63
  5. Step 5: Solve for x
    x = 2,215,308,169.63/53,744.94
  6. Step 6: Final answer
    x = 41,218.92

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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.