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Finding the Fourth Proportional to 77,552.56, 116,292.51 and 32,564.32

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Solution

The fourth proportional to 77,552.56, 116,292.51 and 32,564.32 is: 48,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,552.56 : 116,292.51 = 32,564.32 : x
  2. Step 2: Convert to fraction form
    77,552.56/116,292.51 = 32,564.32/x
  3. Step 3: Cross multiply
    77,552.56x = 116,292.51 × 32,564.32
  4. Step 4: Simplify right side
    77,552.56x = 3,786,986,123.67
  5. Step 5: Solve for x
    x = 3,786,986,123.67/77,552.56
  6. Step 6: Final answer
    x = 48,831.22

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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.