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Finding the Fourth Proportional to 78,994.90, 118,488.70 and 19,829.26

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Solution

The fourth proportional to 78,994.90, 118,488.70 and 19,829.26 is: 29,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,994.90 : 118,488.70 = 19,829.26 : x
  2. Step 2: Convert to fraction form
    78,994.90/118,488.70 = 19,829.26/x
  3. Step 3: Cross multiply
    78,994.90x = 118,488.70 × 19,829.26
  4. Step 4: Simplify right side
    78,994.90x = 2,349,543,239.36
  5. Step 5: Solve for x
    x = 2,349,543,239.36/78,994.90
  6. Step 6: Final answer
    x = 29,742.97

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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.