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Finding the Fourth Proportional to 38,106.96, 57,058.04 and 31,058.08

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Solution

The fourth proportional to 38,106.96, 57,058.04 and 31,058.08 is: 46,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,106.96 : 57,058.04 = 31,058.08 : x
  2. Step 2: Convert to fraction form
    38,106.96/57,058.04 = 31,058.08/x
  3. Step 3: Cross multiply
    38,106.96x = 57,058.04 × 31,058.08
  4. Step 4: Simplify right side
    38,106.96x = 1,772,113,170.96
  5. Step 5: Solve for x
    x = 1,772,113,170.96/38,106.96
  6. Step 6: Final answer
    x = 46,503.66

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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.