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Finding the Fourth Proportional to 63,831.84, 95,663.28 and 48,984

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Solution

The fourth proportional to 63,831.84, 95,663.28 and 48,984 is: 73,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,831.84 : 95,663.28 = 48,984 : x
  2. Step 2: Convert to fraction form
    63,831.84/95,663.28 = 48,984/x
  3. Step 3: Cross multiply
    63,831.84x = 95,663.28 × 48,984
  4. Step 4: Simplify right side
    63,831.84x = 4,685,970,107.52
  5. Step 5: Solve for x
    x = 4,685,970,107.52/63,831.84
  6. Step 6: Final answer
    x = 73,411.17

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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.