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Finding the Fourth Proportional to 37,225.92, 55,838.88 and 12,600

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Solution

The fourth proportional to 37,225.92, 55,838.88 and 12,600 is: 18,900

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,225.92 : 55,838.88 = 12,600 : x
  2. Step 2: Convert to fraction form
    37,225.92/55,838.88 = 12,600/x
  3. Step 3: Cross multiply
    37,225.92x = 55,838.88 × 12,600
  4. Step 4: Simplify right side
    37,225.92x = 703,569,888
  5. Step 5: Solve for x
    x = 703,569,888/37,225.92
  6. Step 6: Final answer
    x = 18,900

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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.