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Finding the Fourth Proportional to 56,062.44, 77,365.17 and 30,569

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Solution

The fourth proportional to 56,062.44, 77,365.17 and 30,569 is: 42,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,062.44 : 77,365.17 = 30,569 : x
  2. Step 2: Convert to fraction form
    56,062.44/77,365.17 = 30,569/x
  3. Step 3: Cross multiply
    56,062.44x = 77,365.17 × 30,569
  4. Step 4: Simplify right side
    56,062.44x = 2,364,975,881.73
  5. Step 5: Solve for x
    x = 2,364,975,881.73/56,062.44
  6. Step 6: Final answer
    x = 42,184.68

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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.