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Finding the Fourth Proportional to 38,690.46, 53,423.55 and 31,112.51

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Solution

The fourth proportional to 38,690.46, 53,423.55 and 31,112.51 is: 42,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,690.46 : 53,423.55 = 31,112.51 : x
  2. Step 2: Convert to fraction form
    38,690.46/53,423.55 = 31,112.51/x
  3. Step 3: Cross multiply
    38,690.46x = 53,423.55 × 31,112.51
  4. Step 4: Simplify right side
    38,690.46x = 1,662,140,466.49
  5. Step 5: Solve for x
    x = 1,662,140,466.49/38,690.46
  6. Step 6: Final answer
    x = 42,959.96

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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.