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Finding the Fourth Proportional to 77,049.36, 106,327.89 and 42,597.63

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Solution

The fourth proportional to 77,049.36, 106,327.89 and 42,597.63 is: 58,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,049.36 : 106,327.89 = 42,597.63 : x
  2. Step 2: Convert to fraction form
    77,049.36/106,327.89 = 42,597.63/x
  3. Step 3: Cross multiply
    77,049.36x = 106,327.89 × 42,597.63
  4. Step 4: Simplify right side
    77,049.36x = 4,529,316,116.90
  5. Step 5: Solve for x
    x = 4,529,316,116.90/77,049.36
  6. Step 6: Final answer
    x = 58,784.60

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