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Finding the Fourth Proportional to 78,701.88, 118,051.62 and 19,538.07

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Solution

The fourth proportional to 78,701.88, 118,051.62 and 19,538.07 is: 29,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,701.88 : 118,051.62 = 19,538.07 : x
  2. Step 2: Convert to fraction form
    78,701.88/118,051.62 = 19,538.07/x
  3. Step 3: Cross multiply
    78,701.88x = 118,051.62 × 19,538.07
  4. Step 4: Simplify right side
    78,701.88x = 2,306,500,815.17
  5. Step 5: Solve for x
    x = 2,306,500,815.17/78,701.88
  6. Step 6: Final answer
    x = 29,306.81

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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.