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Finding the Fourth Proportional to 56,142, 77,476.10 and 30,991.50

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Solution

The fourth proportional to 56,142, 77,476.10 and 30,991.50 is: 42,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,142 : 77,476.10 = 30,991.50 : x
  2. Step 2: Convert to fraction form
    56,142/77,476.10 = 30,991.50/x
  3. Step 3: Cross multiply
    56,142x = 77,476.10 × 30,991.50
  4. Step 4: Simplify right side
    56,142x = 2,401,100,398.19
  5. Step 5: Solve for x
    x = 2,401,100,398.19/56,142
  6. Step 6: Final answer
    x = 42,768.34

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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.