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Finding the Fourth Proportional to 77,602, 107,090.76 and 42,274

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Solution

The fourth proportional to 77,602, 107,090.76 and 42,274 is: 58,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,602 : 107,090.76 = 42,274 : x
  2. Step 2: Convert to fraction form
    77,602/107,090.76 = 42,274/x
  3. Step 3: Cross multiply
    77,602x = 107,090.76 × 42,274
  4. Step 4: Simplify right side
    77,602x = 4,527,154,788.24
  5. Step 5: Solve for x
    x = 4,527,154,788.24/77,602
  6. Step 6: Final answer
    x = 58,338.12

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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.