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Finding the Fourth Proportional to 54,246.84, 74,862 and 30,047.28

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Solution

The fourth proportional to 54,246.84, 74,862 and 30,047.28 is: 41,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,246.84 : 74,862 = 30,047.28 : x
  2. Step 2: Convert to fraction form
    54,246.84/74,862 = 30,047.28/x
  3. Step 3: Cross multiply
    54,246.84x = 74,862 × 30,047.28
  4. Step 4: Simplify right side
    54,246.84x = 2,249,399,475.36
  5. Step 5: Solve for x
    x = 2,249,399,475.36/54,246.84
  6. Step 6: Final answer
    x = 41,466.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.