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Finding the Fourth Proportional to 53,777.32, 74,207.94 and 31,417

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Solution

The fourth proportional to 53,777.32, 74,207.94 and 31,417 is: 43,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,777.32 : 74,207.94 = 31,417 : x
  2. Step 2: Convert to fraction form
    53,777.32/74,207.94 = 31,417/x
  3. Step 3: Cross multiply
    53,777.32x = 74,207.94 × 31,417
  4. Step 4: Simplify right side
    53,777.32x = 2,331,390,850.98
  5. Step 5: Solve for x
    x = 2,331,390,850.98/53,777.32
  6. Step 6: Final answer
    x = 43,352.68

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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.