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Finding the Fourth Proportional to 40,473.40, 55,829.16 and 31,506.70

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Solution

The fourth proportional to 40,473.40, 55,829.16 and 31,506.70 is: 43,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,473.40 : 55,829.16 = 31,506.70 : x
  2. Step 2: Convert to fraction form
    40,473.40/55,829.16 = 31,506.70/x
  3. Step 3: Cross multiply
    40,473.40x = 55,829.16 × 31,506.70
  4. Step 4: Simplify right side
    40,473.40x = 1,758,992,595.37
  5. Step 5: Solve for x
    x = 1,758,992,595.37/40,473.40
  6. Step 6: Final answer
    x = 43,460.46

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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.