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Finding the Fourth Proportional to 65,831.66, 98,728.64 and 21,462.28

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Solution

The fourth proportional to 65,831.66, 98,728.64 and 21,462.28 is: 32,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,831.66 : 98,728.64 = 21,462.28 : x
  2. Step 2: Convert to fraction form
    65,831.66/98,728.64 = 21,462.28/x
  3. Step 3: Cross multiply
    65,831.66x = 98,728.64 × 21,462.28
  4. Step 4: Simplify right side
    65,831.66x = 2,118,941,715.70
  5. Step 5: Solve for x
    x = 2,118,941,715.70/65,831.66
  6. Step 6: Final answer
    x = 32,187.27

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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.