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Finding the Fourth Proportional to 31,017.16, 42,807.77 and 30,172.77

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Solution

The fourth proportional to 31,017.16, 42,807.77 and 30,172.77 is: 41,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017.16 : 42,807.77 = 30,172.77 : x
  2. Step 2: Convert to fraction form
    31,017.16/42,807.77 = 30,172.77/x
  3. Step 3: Cross multiply
    31,017.16x = 42,807.77 × 30,172.77
  4. Step 4: Simplify right side
    31,017.16x = 1,291,628,998.42
  5. Step 5: Solve for x
    x = 1,291,628,998.42/31,017.16
  6. Step 6: Final answer
    x = 41,642.40

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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.