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Finding the Fourth Proportional to 59,283.84, 81,838.38 and 37,802.38

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Solution

The fourth proportional to 59,283.84, 81,838.38 and 37,802.38 is: 52,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,283.84 : 81,838.38 = 37,802.38 : x
  2. Step 2: Convert to fraction form
    59,283.84/81,838.38 = 37,802.38/x
  3. Step 3: Cross multiply
    59,283.84x = 81,838.38 × 37,802.38
  4. Step 4: Simplify right side
    59,283.84x = 3,093,685,399.78
  5. Step 5: Solve for x
    x = 3,093,685,399.78/59,283.84
  6. Step 6: Final answer
    x = 52,184.30

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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.