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Finding the Fourth Proportional to 37,903.54, 56,831.02 and 15,732.22

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Solution

The fourth proportional to 37,903.54, 56,831.02 and 15,732.22 is: 23,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,903.54 : 56,831.02 = 15,732.22 : x
  2. Step 2: Convert to fraction form
    37,903.54/56,831.02 = 15,732.22/x
  3. Step 3: Cross multiply
    37,903.54x = 56,831.02 × 15,732.22
  4. Step 4: Simplify right side
    37,903.54x = 894,078,109.46
  5. Step 5: Solve for x
    x = 894,078,109.46/37,903.54
  6. Step 6: Final answer
    x = 23,588.25

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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.