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Finding the Fourth Proportional to 38,543.16, 53,189.64 and 21,776.16

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Solution

The fourth proportional to 38,543.16, 53,189.64 and 21,776.16 is: 30,051.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,543.16 : 53,189.64 = 21,776.16 : x
  2. Step 2: Convert to fraction form
    38,543.16/53,189.64 = 21,776.16/x
  3. Step 3: Cross multiply
    38,543.16x = 53,189.64 × 21,776.16
  4. Step 4: Simplify right side
    38,543.16x = 1,158,266,110.98
  5. Step 5: Solve for x
    x = 1,158,266,110.98/38,543.16
  6. Step 6: Final answer
    x = 30,051.15

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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.