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Finding the Fourth Proportional to 102,468.36, 153,689.90 and 27,594.36

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Solution

The fourth proportional to 102,468.36, 153,689.90 and 27,594.36 is: 41,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,468.36 : 153,689.90 = 27,594.36 : x
  2. Step 2: Convert to fraction form
    102,468.36/153,689.90 = 27,594.36/x
  3. Step 3: Cross multiply
    102,468.36x = 153,689.90 × 27,594.36
  4. Step 4: Simplify right side
    102,468.36x = 4,240,974,428.96
  5. Step 5: Solve for x
    x = 4,240,974,428.96/102,468.36
  6. Step 6: Final answer
    x = 41,388.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.