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Finding the Fourth Proportional to 71,802.50, 107,721.12 and 22,554.50

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Solution

The fourth proportional to 71,802.50, 107,721.12 and 22,554.50 is: 33,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,802.50 : 107,721.12 = 22,554.50 : x
  2. Step 2: Convert to fraction form
    71,802.50/107,721.12 = 22,554.50/x
  3. Step 3: Cross multiply
    71,802.50x = 107,721.12 × 22,554.50
  4. Step 4: Simplify right side
    71,802.50x = 2,429,596,001.04
  5. Step 5: Solve for x
    x = 2,429,596,001.04/71,802.50
  6. Step 6: Final answer
    x = 33,837.21

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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.