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Finding the Fourth Proportional to 78,768.64, 118,127.48 and 26,164

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Solution

The fourth proportional to 78,768.64, 118,127.48 and 26,164 is: 39,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,768.64 : 118,127.48 = 26,164 : x
  2. Step 2: Convert to fraction form
    78,768.64/118,127.48 = 26,164/x
  3. Step 3: Cross multiply
    78,768.64x = 118,127.48 × 26,164
  4. Step 4: Simplify right side
    78,768.64x = 3,090,687,386.72
  5. Step 5: Solve for x
    x = 3,090,687,386.72/78,768.64
  6. Step 6: Final answer
    x = 39,237.54

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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.