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Finding the Fourth Proportional to 78,701.80, 118,035.86 and 22,526.82

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Solution

The fourth proportional to 78,701.80, 118,035.86 and 22,526.82 is: 33,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,701.80 : 118,035.86 = 22,526.82 : x
  2. Step 2: Convert to fraction form
    78,701.80/118,035.86 = 22,526.82/x
  3. Step 3: Cross multiply
    78,701.80x = 118,035.86 × 22,526.82
  4. Step 4: Simplify right side
    78,701.80x = 2,658,972,831.03
  5. Step 5: Solve for x
    x = 2,658,972,831.03/78,701.80
  6. Step 6: Final answer
    x = 33,785.41

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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.