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Finding the Fourth Proportional to 31,507.50, 47,294.73 and 19,058.94

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Solution

The fourth proportional to 31,507.50, 47,294.73 and 19,058.94 is: 28,608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.50 : 47,294.73 = 19,058.94 : x
  2. Step 2: Convert to fraction form
    31,507.50/47,294.73 = 19,058.94/x
  3. Step 3: Cross multiply
    31,507.50x = 47,294.73 × 19,058.94
  4. Step 4: Simplify right side
    31,507.50x = 901,387,421.39
  5. Step 5: Solve for x
    x = 901,387,421.39/31,507.50
  6. Step 6: Final answer
    x = 28,608.66

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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.