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Finding the Fourth Proportional to 78,707.54, 118,026.56 and 22,534.90

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Solution

The fourth proportional to 78,707.54, 118,026.56 and 22,534.90 is: 33,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,707.54 : 118,026.56 = 22,534.90 : x
  2. Step 2: Convert to fraction form
    78,707.54/118,026.56 = 22,534.90/x
  3. Step 3: Cross multiply
    78,707.54x = 118,026.56 × 22,534.90
  4. Step 4: Simplify right side
    78,707.54x = 2,659,716,136.81
  5. Step 5: Solve for x
    x = 2,659,716,136.81/78,707.54
  6. Step 6: Final answer
    x = 33,792.40

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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.