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Finding the Fourth Proportional to 84,643.14, 116,803.04 and 48,831.02

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Solution

The fourth proportional to 84,643.14, 116,803.04 and 48,831.02 is: 67,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,643.14 : 116,803.04 = 48,831.02 : x
  2. Step 2: Convert to fraction form
    84,643.14/116,803.04 = 48,831.02/x
  3. Step 3: Cross multiply
    84,643.14x = 116,803.04 × 48,831.02
  4. Step 4: Simplify right side
    84,643.14x = 5,703,611,582.30
  5. Step 5: Solve for x
    x = 5,703,611,582.30/84,643.14
  6. Step 6: Final answer
    x = 67,384.22

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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.