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Finding the Fourth Proportional to 101,397, 152,095.50 and 27,525

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Solution

The fourth proportional to 101,397, 152,095.50 and 27,525 is: 41,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,397 : 152,095.50 = 27,525 : x
  2. Step 2: Convert to fraction form
    101,397/152,095.50 = 27,525/x
  3. Step 3: Cross multiply
    101,397x = 152,095.50 × 27,525
  4. Step 4: Simplify right side
    101,397x = 4,186,428,637.50
  5. Step 5: Solve for x
    x = 4,186,428,637.50/101,397
  6. Step 6: Final answer
    x = 41,287.50

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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.