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Finding the Fourth Proportional to 101,398.50, 152,097.75 and 27,526.50

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Solution

The fourth proportional to 101,398.50, 152,097.75 and 27,526.50 is: 41,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,398.50 : 152,097.75 = 27,526.50 : x
  2. Step 2: Convert to fraction form
    101,398.50/152,097.75 = 27,526.50/x
  3. Step 3: Cross multiply
    101,398.50x = 152,097.75 × 27,526.50
  4. Step 4: Simplify right side
    101,398.50x = 4,186,718,715.38
  5. Step 5: Solve for x
    x = 4,186,718,715.38/101,398.50
  6. Step 6: Final answer
    x = 41,289.75

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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.