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Finding the Fourth Proportional to 77,241.98, 106,602.89 and 47,045.02

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Solution

The fourth proportional to 77,241.98, 106,602.89 and 47,045.02 is: 64,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,241.98 : 106,602.89 = 47,045.02 : x
  2. Step 2: Convert to fraction form
    77,241.98/106,602.89 = 47,045.02/x
  3. Step 3: Cross multiply
    77,241.98x = 106,602.89 × 47,045.02
  4. Step 4: Simplify right side
    77,241.98x = 5,015,135,092.11
  5. Step 5: Solve for x
    x = 5,015,135,092.11/77,241.98
  6. Step 6: Final answer
    x = 64,927.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.