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Finding the Fourth Proportional to 56,416.34, 77,855.51 and 30,922.20

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Solution

The fourth proportional to 56,416.34, 77,855.51 and 30,922.20 is: 42,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,416.34 : 77,855.51 = 30,922.20 : x
  2. Step 2: Convert to fraction form
    56,416.34/77,855.51 = 30,922.20/x
  3. Step 3: Cross multiply
    56,416.34x = 77,855.51 × 30,922.20
  4. Step 4: Simplify right side
    56,416.34x = 2,407,463,728.63
  5. Step 5: Solve for x
    x = 2,407,463,728.63/56,416.34
  6. Step 6: Final answer
    x = 42,673.16

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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.