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Finding the Fourth Proportional to 76,580.63, 114,831.45 and 34,424.68

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Solution

The fourth proportional to 76,580.63, 114,831.45 and 34,424.68 is: 51,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,580.63 : 114,831.45 = 34,424.68 : x
  2. Step 2: Convert to fraction form
    76,580.63/114,831.45 = 34,424.68/x
  3. Step 3: Cross multiply
    76,580.63x = 114,831.45 × 34,424.68
  4. Step 4: Simplify right side
    76,580.63x = 3,953,035,920.19
  5. Step 5: Solve for x
    x = 3,953,035,920.19/76,580.63
  6. Step 6: Final answer
    x = 51,619.27

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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.