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Finding the Fourth Proportional to 65,767.40, 98,651.10 and 28,831.40

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Solution

The fourth proportional to 65,767.40, 98,651.10 and 28,831.40 is: 43,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,767.40 : 98,651.10 = 28,831.40 : x
  2. Step 2: Convert to fraction form
    65,767.40/98,651.10 = 28,831.40/x
  3. Step 3: Cross multiply
    65,767.40x = 98,651.10 × 28,831.40
  4. Step 4: Simplify right side
    65,767.40x = 2,844,249,324.54
  5. Step 5: Solve for x
    x = 2,844,249,324.54/65,767.40
  6. Step 6: Final answer
    x = 43,247.10

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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.