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Finding the Fourth Proportional to 64,770.94, 97,162.08 and 19,802.44

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Solution

The fourth proportional to 64,770.94, 97,162.08 and 19,802.44 is: 29,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,770.94 : 97,162.08 = 19,802.44 : x
  2. Step 2: Convert to fraction form
    64,770.94/97,162.08 = 19,802.44/x
  3. Step 3: Cross multiply
    64,770.94x = 97,162.08 × 19,802.44
  4. Step 4: Simplify right side
    64,770.94x = 1,924,046,259.48
  5. Step 5: Solve for x
    x = 1,924,046,259.48/64,770.94
  6. Step 6: Final answer
    x = 29,705.39

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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.