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Finding the Fourth Proportional to 37,390.50, 56,089.53 and 15,200.46

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Solution

The fourth proportional to 37,390.50, 56,089.53 and 15,200.46 is: 22,802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,390.50 : 56,089.53 = 15,200.46 : x
  2. Step 2: Convert to fraction form
    37,390.50/56,089.53 = 15,200.46/x
  3. Step 3: Cross multiply
    37,390.50x = 56,089.53 × 15,200.46
  4. Step 4: Simplify right side
    37,390.50x = 852,586,657.18
  5. Step 5: Solve for x
    x = 852,586,657.18/37,390.50
  6. Step 6: Final answer
    x = 22,802.23

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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.