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Finding the Fourth Proportional to 57,384.66, 86,081.95 and 15,831.66

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Solution

The fourth proportional to 57,384.66, 86,081.95 and 15,831.66 is: 23,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,384.66 : 86,081.95 = 15,831.66 : x
  2. Step 2: Convert to fraction form
    57,384.66/86,081.95 = 15,831.66/x
  3. Step 3: Cross multiply
    57,384.66x = 86,081.95 × 15,831.66
  4. Step 4: Simplify right side
    57,384.66x = 1,362,820,164.54
  5. Step 5: Solve for x
    x = 1,362,820,164.54/57,384.66
  6. Step 6: Final answer
    x = 23,748.86

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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.