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Finding the Fourth Proportional to 52,714.81, 72,741.27 and 30,052

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Solution

The fourth proportional to 52,714.81, 72,741.27 and 30,052 is: 41,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,714.81 : 72,741.27 = 30,052 : x
  2. Step 2: Convert to fraction form
    52,714.81/72,741.27 = 30,052/x
  3. Step 3: Cross multiply
    52,714.81x = 72,741.27 × 30,052
  4. Step 4: Simplify right side
    52,714.81x = 2,186,020,646.04
  5. Step 5: Solve for x
    x = 2,186,020,646.04/52,714.81
  6. Step 6: Final answer
    x = 41,468.81

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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.