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Finding the Fourth Proportional to 56,362.49, 84,574.85 and 31,416.58

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Solution

The fourth proportional to 56,362.49, 84,574.85 and 31,416.58 is: 47,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,362.49 : 84,574.85 = 31,416.58 : x
  2. Step 2: Convert to fraction form
    56,362.49/84,574.85 = 31,416.58/x
  3. Step 3: Cross multiply
    56,362.49x = 84,574.85 × 31,416.58
  4. Step 4: Simplify right side
    56,362.49x = 2,657,052,383.93
  5. Step 5: Solve for x
    x = 2,657,052,383.93/56,362.49
  6. Step 6: Final answer
    x = 47,142.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.