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Finding the Fourth Proportional to 54,359.52, 74,984.28 and 34,184.40

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Solution

The fourth proportional to 54,359.52, 74,984.28 and 34,184.40 is: 47,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,359.52 : 74,984.28 = 34,184.40 : x
  2. Step 2: Convert to fraction form
    54,359.52/74,984.28 = 34,184.40/x
  3. Step 3: Cross multiply
    54,359.52x = 74,984.28 × 34,184.40
  4. Step 4: Simplify right side
    54,359.52x = 2,563,292,621.23
  5. Step 5: Solve for x
    x = 2,563,292,621.23/54,359.52
  6. Step 6: Final answer
    x = 47,154.44

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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.