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Finding the Fourth Proportional to 76,552.66, 114,831.15 and 21,148.66

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Solution

The fourth proportional to 76,552.66, 114,831.15 and 21,148.66 is: 31,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,552.66 : 114,831.15 = 21,148.66 : x
  2. Step 2: Convert to fraction form
    76,552.66/114,831.15 = 21,148.66/x
  3. Step 3: Cross multiply
    76,552.66x = 114,831.15 × 21,148.66
  4. Step 4: Simplify right side
    76,552.66x = 2,428,524,948.76
  5. Step 5: Solve for x
    x = 2,428,524,948.76/76,552.66
  6. Step 6: Final answer
    x = 31,723.59

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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.