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Finding the Fourth Proportional to 54,681, 75,438.18 and 34,530.36

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Solution

The fourth proportional to 54,681, 75,438.18 and 34,530.36 is: 47,638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,681 : 75,438.18 = 34,530.36 : x
  2. Step 2: Convert to fraction form
    54,681/75,438.18 = 34,530.36/x
  3. Step 3: Cross multiply
    54,681x = 75,438.18 × 34,530.36
  4. Step 4: Simplify right side
    54,681x = 2,604,907,513.14
  5. Step 5: Solve for x
    x = 2,604,907,513.14/54,681
  6. Step 6: Final answer
    x = 47,638.26

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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.