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Finding the Fourth Proportional to 40,407.40, 55,733.53 and 34,315.58

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Solution

The fourth proportional to 40,407.40, 55,733.53 and 34,315.58 is: 47,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,407.40 : 55,733.53 = 34,315.58 : x
  2. Step 2: Convert to fraction form
    40,407.40/55,733.53 = 34,315.58/x
  3. Step 3: Cross multiply
    40,407.40x = 55,733.53 × 34,315.58
  4. Step 4: Simplify right side
    40,407.40x = 1,912,528,338.41
  5. Step 5: Solve for x
    x = 1,912,528,338.41/40,407.40
  6. Step 6: Final answer
    x = 47,331.14

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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.