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Finding the Fourth Proportional to 54,271.66, 74,897.20 and 31,607

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Solution

The fourth proportional to 54,271.66, 74,897.20 and 31,607 is: 43,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,271.66 : 74,897.20 = 31,607 : x
  2. Step 2: Convert to fraction form
    54,271.66/74,897.20 = 31,607/x
  3. Step 3: Cross multiply
    54,271.66x = 74,897.20 × 31,607
  4. Step 4: Simplify right side
    54,271.66x = 2,367,275,800.40
  5. Step 5: Solve for x
    x = 2,367,275,800.40/54,271.66
  6. Step 6: Final answer
    x = 43,619.00

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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.