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Finding the Fourth Proportional to 56,466.96, 77,925 and 31,318.08

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Solution

The fourth proportional to 56,466.96, 77,925 and 31,318.08 is: 43,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,466.96 : 77,925 = 31,318.08 : x
  2. Step 2: Convert to fraction form
    56,466.96/77,925 = 31,318.08/x
  3. Step 3: Cross multiply
    56,466.96x = 77,925 × 31,318.08
  4. Step 4: Simplify right side
    56,466.96x = 2,440,461,384
  5. Step 5: Solve for x
    x = 2,440,461,384/56,466.96
  6. Step 6: Final answer
    x = 43,219.28

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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.