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Finding the Fourth Proportional to 35,572.47, 49,112.91 and 22,831.14

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Solution

The fourth proportional to 35,572.47, 49,112.91 and 22,831.14 is: 31,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,572.47 : 49,112.91 = 22,831.14 : x
  2. Step 2: Convert to fraction form
    35,572.47/49,112.91 = 22,831.14/x
  3. Step 3: Cross multiply
    35,572.47x = 49,112.91 × 22,831.14
  4. Step 4: Simplify right side
    35,572.47x = 1,121,303,724.02
  5. Step 5: Solve for x
    x = 1,121,303,724.02/35,572.47
  6. Step 6: Final answer
    x = 31,521.67

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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.