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Finding the Fourth Proportional to 56,142.04, 77,475.54 and 30,991

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Solution

The fourth proportional to 56,142.04, 77,475.54 and 30,991 is: 42,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,142.04 : 77,475.54 = 30,991 : x
  2. Step 2: Convert to fraction form
    56,142.04/77,475.54 = 30,991/x
  3. Step 3: Cross multiply
    56,142.04x = 77,475.54 × 30,991
  4. Step 4: Simplify right side
    56,142.04x = 2,401,044,460.14
  5. Step 5: Solve for x
    x = 2,401,044,460.14/56,142.04
  6. Step 6: Final answer
    x = 42,767.32

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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.