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Finding the Fourth Proportional to 55,051.12, 75,968.04 and 30,854.16

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Solution

The fourth proportional to 55,051.12, 75,968.04 and 30,854.16 is: 42,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,051.12 : 75,968.04 = 30,854.16 : x
  2. Step 2: Convert to fraction form
    55,051.12/75,968.04 = 30,854.16/x
  3. Step 3: Cross multiply
    55,051.12x = 75,968.04 × 30,854.16
  4. Step 4: Simplify right side
    55,051.12x = 2,343,930,061.05
  5. Step 5: Solve for x
    x = 2,343,930,061.05/55,051.12
  6. Step 6: Final answer
    x = 42,577.34

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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.